id	sid	tid	token	lemma	pos
american_scientific_journal-1841	1	1	184	184	NUM
american_scientific_journal-1841	1	2	american	american	ADJ
american_scientific_journal-1841	1	3	scientific	scientific	ADJ
american_scientific_journal-1841	1	4	research	research	NOUN
american_scientific_journal-1841	1	5	journal	journal	NOUN
american_scientific_journal-1841	1	6	for	for	ADP
american_scientific_journal-1841	1	7	engineering	engineering	NOUN
american_scientific_journal-1841	1	8	,	,	PUNCT
american_scientific_journal-1841	1	9	technology	technology	NOUN
american_scientific_journal-1841	1	10	,	,	PUNCT
american_scientific_journal-1841	1	11	and	and	CCONJ
american_scientific_journal-1841	1	12	sciences	science	NOUN
american_scientific_journal-1841	1	13	(	(	PUNCT
american_scientific_journal-1841	1	14	asrjets	asrjet	NOUN
american_scientific_journal-1841	1	15	)	)	PUNCT
american_scientific_journal-1841	1	16	issn	issn	PROPN
american_scientific_journal-1841	1	17	(	(	PUNCT
american_scientific_journal-1841	1	18	print	print	NOUN
american_scientific_journal-1841	1	19	)	)	PUNCT
american_scientific_journal-1841	1	20	2313	2313	NUM
american_scientific_journal-1841	1	21	-	-	SYM
american_scientific_journal-1841	1	22	4410	4410	NUM
american_scientific_journal-1841	1	23	,	,	PUNCT
american_scientific_journal-1841	1	24	issn	issn	PROPN
american_scientific_journal-1841	1	25	(	(	PUNCT
american_scientific_journal-1841	1	26	online	online	ADJ
american_scientific_journal-1841	1	27	)	)	PUNCT
american_scientific_journal-1841	1	28	2313	2313	NUM
american_scientific_journal-1841	1	29	-	-	SYM
american_scientific_journal-1841	1	30	4402	4402	NUM
american_scientific_journal-1841	1	31	©	©	PROPN
american_scientific_journal-1841	1	32	global	global	ADJ
american_scientific_journal-1841	1	33	society	society	NOUN
american_scientific_journal-1841	1	34	of	of	ADP
american_scientific_journal-1841	1	35	scientific	scientific	ADJ
american_scientific_journal-1841	1	36	research	research	NOUN
american_scientific_journal-1841	1	37	and	and	CCONJ
american_scientific_journal-1841	1	38	researchers	researcher	NOUN
american_scientific_journal-1841	1	39	http://asrjetsjournal.org/	http://asrjetsjournal.org/	NOUN
american_scientific_journal-1841	1	40	space	space	NOUN
american_scientific_journal-1841	1	41	-	-	PUNCT
american_scientific_journal-1841	1	42	time	time	NOUN
american_scientific_journal-1841	1	43	as	as	ADP
american_scientific_journal-1841	1	44	dark	dark	ADJ
american_scientific_journal-1841	1	45	energy	energy	NOUN
american_scientific_journal-1841	1	46	and	and	CCONJ
american_scientific_journal-1841	1	47	dark	dark	ADJ
american_scientific_journal-1841	1	48	matter	matter	NOUN
american_scientific_journal-1841	1	49	nalin	nalin	PROPN
american_scientific_journal-1841	1	50	de	de	PROPN
american_scientific_journal-1841	1	51	silvaa	silvaa	PROPN
american_scientific_journal-1841	1	52	*	*	PROPN
american_scientific_journal-1841	1	53	,	,	PUNCT
american_scientific_journal-1841	1	54	kumudumalee	kumudumalee	PROPN
american_scientific_journal-1841	1	55	jayakodyb	jayakodyb	PROPN
american_scientific_journal-1841	1	56	,	,	PUNCT
american_scientific_journal-1841	1	57	hemantha	hemantha	PROPN
american_scientific_journal-1841	1	58	don	don	PROPN
american_scientific_journal-1841	1	59	maddumagec	maddumagec	PROPN
american_scientific_journal-1841	1	60	,	,	PUNCT
american_scientific_journal-1841	1	61	wasantha	wasantha	PROPN
american_scientific_journal-1841	1	62	katugampalad	katugampalad	PROPN
american_scientific_journal-1841	1	63	a109/1	a109/1	PROPN
american_scientific_journal-1841	1	64	,	,	PUNCT
american_scientific_journal-1841	1	65	railway	railway	NOUN
american_scientific_journal-1841	1	66	avenue	avenue	PROPN
american_scientific_journal-1841	1	67	,	,	PUNCT
american_scientific_journal-1841	1	68	maharagama	maharagama	PROPN
american_scientific_journal-1841	1	69	,	,	PUNCT
american_scientific_journal-1841	1	70	sri	sri	PROPN
american_scientific_journal-1841	1	71	lanka	lanka	PROPN
american_scientific_journal-1841	1	72	bno	bno	PROPN
american_scientific_journal-1841	1	73	:	:	PUNCT
american_scientific_journal-1841	1	74	54	54	NUM
american_scientific_journal-1841	1	75	,	,	PUNCT
american_scientific_journal-1841	1	76	mihindu	mihindu	NOUN
american_scientific_journal-1841	1	77	mawatha	mawatha	ADJ
american_scientific_journal-1841	1	78	,	,	PUNCT
american_scientific_journal-1841	1	79	gampaha	gampaha	PROPN
american_scientific_journal-1841	1	80	,	,	PUNCT
american_scientific_journal-1841	1	81	.	.	PUNCT
american_scientific_journal-1841	2	1	sri	sri	PROPN
american_scientific_journal-1841	2	2	lanka	lanka	PROPN
american_scientific_journal-1841	2	3	cresearch	cresearch	PROPN
american_scientific_journal-1841	2	4	computing	computing	PROPN
american_scientific_journal-1841	2	5	center	center	NOUN
american_scientific_journal-1841	2	6	,	,	PUNCT
american_scientific_journal-1841	2	7	florida	florida	PROPN
american_scientific_journal-1841	2	8	state	state	PROPN
american_scientific_journal-1841	2	9	university	university	PROPN
american_scientific_journal-1841	2	10	,	,	PUNCT
american_scientific_journal-1841	2	11	151	151	NUM
american_scientific_journal-1841	2	12	,	,	PUNCT
american_scientific_journal-1841	2	13	dirac	dirac	NOUN
american_scientific_journal-1841	2	14	science	science	NOUN
american_scientific_journal-1841	2	15	library	library	PROPN
american_scientific_journal-1841	2	16	,	,	PUNCT
american_scientific_journal-1841	2	17	tallahassee	tallahassee	PROPN
american_scientific_journal-1841	2	18	,	,	PUNCT
american_scientific_journal-1841	2	19	fl32306	fl32306	PROPN
american_scientific_journal-1841	2	20	,	,	PUNCT
american_scientific_journal-1841	2	21	usa	usa	PROPN
american_scientific_journal-1841	2	22	ddepartment	ddepartment	NOUN
american_scientific_journal-1841	2	23	of	of	ADP
american_scientific_journal-1841	2	24	mathematics	mathematic	NOUN
american_scientific_journal-1841	2	25	,	,	PUNCT
american_scientific_journal-1841	2	26	university	university	PROPN
american_scientific_journal-1841	2	27	of	of	ADP
american_scientific_journal-1841	2	28	kelaniya	kelaniya	PROPN
american_scientific_journal-1841	2	29	,	,	PUNCT
american_scientific_journal-1841	2	30	kelaniya	kelaniya	PROPN
american_scientific_journal-1841	2	31	,	,	PUNCT
american_scientific_journal-1841	2	32	sri	sri	PROPN
american_scientific_journal-1841	2	33	lanka	lanka	PROPN
american_scientific_journal-1841	2	34	aemail	aemail	PROPN
american_scientific_journal-1841	2	35	:	:	PUNCT
american_scientific_journal-1841	2	36	nalink2003@gmail.com	nalink2003@gmail.com	X
american_scientific_journal-1841	3	1	bemail	bemail	NOUN
american_scientific_journal-1841	3	2	:	:	PUNCT
american_scientific_journal-1841	4	1	jan_kumudu@yahoo.com	jan_kumudu@yahoo.com	PROPN
american_scientific_journal-1841	4	2	cemail	cemail	PROPN
american_scientific_journal-1841	4	3	:	:	PUNCT
american_scientific_journal-1841	4	4	mdphemantha@yahoo.com	mdphemantha@yahoo.com	X
american_scientific_journal-1841	4	5	demail	demail	NOUN
american_scientific_journal-1841	4	6	:	:	PUNCT
american_scientific_journal-1841	4	7	wasantha@kln.ac.lk	wasantha@kln.ac.lk	NOUN
american_scientific_journal-1841	4	8	abstract	abstract	NOUN
american_scientific_journal-1841	4	9	in	in	ADP
american_scientific_journal-1841	4	10	this	this	DET
american_scientific_journal-1841	4	11	paper	paper	NOUN
american_scientific_journal-1841	4	12	we	we	PRON
american_scientific_journal-1841	4	13	modify	modify	VERB
american_scientific_journal-1841	4	14	einstein	einstein	PROPN
american_scientific_journal-1841	4	15	’s	’s	PART
american_scientific_journal-1841	4	16	field	field	NOUN
american_scientific_journal-1841	4	17	equations	equation	NOUN
american_scientific_journal-1841	4	18	,	,	PUNCT
american_scientific_journal-1841	4	19	and	and	CCONJ
american_scientific_journal-1841	4	20	write	write	VERB
american_scientific_journal-1841	4	21	down	down	ADP
american_scientific_journal-1841	4	22	the	the	DET
american_scientific_journal-1841	4	23	cosmological	cosmological	ADJ
american_scientific_journal-1841	4	24	term	term	NOUN
american_scientific_journal-1841	4	25	and	and	CCONJ
american_scientific_journal-1841	4	26	the	the	DET
american_scientific_journal-1841	4	27	metric	metric	ADJ
american_scientific_journal-1841	4	28	tensor	tensor	NOUN
american_scientific_journal-1841	4	29	as	as	ADP
american_scientific_journal-1841	4	30	an	an	DET
american_scientific_journal-1841	4	31	energy	energy	NOUN
american_scientific_journal-1841	4	32	momentum	momentum	NOUN
american_scientific_journal-1841	4	33	tensor	tensor	NOUN
american_scientific_journal-1841	4	34	of	of	ADP
american_scientific_journal-1841	4	35	space	space	NOUN
american_scientific_journal-1841	4	36	-	-	PUNCT
american_scientific_journal-1841	4	37	time	time	NOUN
american_scientific_journal-1841	4	38	,	,	PUNCT
american_scientific_journal-1841	4	39	and	and	CCONJ
american_scientific_journal-1841	4	40	interpret	interpret	VERB
american_scientific_journal-1841	4	41	space	space	NOUN
american_scientific_journal-1841	4	42	-	-	PUNCT
american_scientific_journal-1841	4	43	time	time	NOUN
american_scientific_journal-1841	4	44	as	as	ADP
american_scientific_journal-1841	4	45	a	a	DET
american_scientific_journal-1841	4	46	form	form	NOUN
american_scientific_journal-1841	4	47	of	of	ADP
american_scientific_journal-1841	4	48	energy	energy	NOUN
american_scientific_journal-1841	4	49	,	,	PUNCT
american_scientific_journal-1841	4	50	not	not	PART
american_scientific_journal-1841	4	51	vacuum	vacuum	NOUN
american_scientific_journal-1841	4	52	energy	energy	NOUN
american_scientific_journal-1841	4	53	as	as	SCONJ
american_scientific_journal-1841	4	54	such.the	such.the	DET
american_scientific_journal-1841	4	55	energy	energy	NOUN
american_scientific_journal-1841	4	56	momentum	momentum	NOUN
american_scientific_journal-1841	4	57	tensor	tensor	NOUN
american_scientific_journal-1841	4	58	of	of	ADP
american_scientific_journal-1841	4	59	space	space	NOUN
american_scientific_journal-1841	4	60	-	-	PUNCT
american_scientific_journal-1841	4	61	time	time	NOUN
american_scientific_journal-1841	4	62	has	have	VERB
american_scientific_journal-1841	4	63	equivalents	equivalent	NOUN
american_scientific_journal-1841	4	64	of	of	ADP
american_scientific_journal-1841	4	65	both	both	CCONJ
american_scientific_journal-1841	4	66	mass	mass	NOUN
american_scientific_journal-1841	4	67	and	and	CCONJ
american_scientific_journal-1841	4	68	pressure	pressure	VERB
american_scientific_journal-1841	4	69	components.the	components.the	DET
american_scientific_journal-1841	4	70	acceleration	acceleration	NOUN
american_scientific_journal-1841	4	71	of	of	ADP
american_scientific_journal-1841	4	72	the	the	DET
american_scientific_journal-1841	4	73	universe	universe	NOUN
american_scientific_journal-1841	4	74	,	,	PUNCT
american_scientific_journal-1841	4	75	dark	dark	ADJ
american_scientific_journal-1841	4	76	energy	energy	NOUN
american_scientific_journal-1841	4	77	and	and	CCONJ
american_scientific_journal-1841	4	78	dark	dark	ADJ
american_scientific_journal-1841	4	79	matter	matter	NOUN
american_scientific_journal-1841	4	80	are	be	AUX
american_scientific_journal-1841	4	81	explained	explain	VERB
american_scientific_journal-1841	4	82	in	in	ADP
american_scientific_journal-1841	4	83	terms	term	NOUN
american_scientific_journal-1841	4	84	of	of	ADP
american_scientific_journal-1841	4	85	the	the	DET
american_scientific_journal-1841	4	86	energy	energy	NOUN
american_scientific_journal-1841	4	87	momentum	momentum	NOUN
american_scientific_journal-1841	4	88	tensor	tensor	NOUN
american_scientific_journal-1841	4	89	of	of	ADP
american_scientific_journal-1841	4	90	space	space	NOUN
american_scientific_journal-1841	4	91	-	-	PUNCT
american_scientific_journal-1841	4	92	time	time	NOUN
american_scientific_journal-1841	4	93	.	.	PUNCT
american_scientific_journal-1841	5	1	keywords	keyword	NOUN
american_scientific_journal-1841	5	2	:	:	PUNCT
american_scientific_journal-1841	5	3	space	space	NOUN
american_scientific_journal-1841	5	4	-	-	PUNCT
american_scientific_journal-1841	5	5	time	time	NOUN
american_scientific_journal-1841	5	6	energy	energy	NOUN
american_scientific_journal-1841	5	7	momentum	momentum	NOUN
american_scientific_journal-1841	5	8	tensor	tensor	NOUN
american_scientific_journal-1841	5	9	;	;	PUNCT
american_scientific_journal-1841	5	10	space	space	NOUN
american_scientific_journal-1841	5	11	-	-	PUNCT
american_scientific_journal-1841	5	12	time	time	NOUN
american_scientific_journal-1841	5	13	as	as	ADP
american_scientific_journal-1841	5	14	energy	energy	NOUN
american_scientific_journal-1841	5	15	;	;	PUNCT
american_scientific_journal-1841	5	16	einstein	einstein	PROPN
american_scientific_journal-1841	5	17	’s	’s	PART
american_scientific_journal-1841	5	18	field	field	NOUN
american_scientific_journal-1841	5	19	equations	equation	NOUN
american_scientific_journal-1841	5	20	;	;	PUNCT
american_scientific_journal-1841	5	21	dark	dark	ADJ
american_scientific_journal-1841	5	22	energy	energy	NOUN
american_scientific_journal-1841	5	23	;	;	PUNCT
american_scientific_journal-1841	5	24	dark	dark	ADJ
american_scientific_journal-1841	5	25	matter	matter	NOUN
american_scientific_journal-1841	5	26	;	;	PUNCT
american_scientific_journal-1841	5	27	universe	universe	VERB
american_scientific_journal-1841	5	28	with	with	ADP
american_scientific_journal-1841	5	29	acceleration	acceleration	NOUN
american_scientific_journal-1841	5	30	.	.	PUNCT
american_scientific_journal-1841	6	1	1	1	X
american_scientific_journal-1841	6	2	.	.	X
american_scientific_journal-1841	6	3	introduction	introduction	NOUN
american_scientific_journal-1841	6	4	we	we	PRON
american_scientific_journal-1841	6	5	write	write	VERB
american_scientific_journal-1841	6	6	,	,	PUNCT
american_scientific_journal-1841	6	7	following	follow	VERB
american_scientific_journal-1841	6	8	hemantha	hemantha	PROPN
american_scientific_journal-1841	6	9	and	and	CCONJ
american_scientific_journal-1841	6	10	de	de	ADP
american_scientific_journal-1841	6	11	silva	silva	NOUN
american_scientific_journal-1841	6	12	[	[	X
american_scientific_journal-1841	6	13	1	1	NUM
american_scientific_journal-1841	6	14	,	,	PUNCT
american_scientific_journal-1841	6	15	2],einstein	2],einstein	NUM
american_scientific_journal-1841	6	16	’s	’s	PART
american_scientific_journal-1841	6	17	field	field	NOUN
american_scientific_journal-1841	6	18	equations	equation	NOUN
american_scientific_journal-1841	6	19	in	in	ADP
american_scientific_journal-1841	6	20	general	general	ADJ
american_scientific_journal-1841	6	21	relativity	relativity	NOUN
american_scientific_journal-1841	6	22	in	in	ADP
american_scientific_journal-1841	6	23	the	the	DET
american_scientific_journal-1841	6	24	form	form	NOUN
american_scientific_journal-1841	6	25	,	,	PUNCT
american_scientific_journal-1841	6	26	𝑅𝑅𝜇𝜇𝜇𝜇	𝑅𝑅𝜇𝜇𝜇𝜇	PROPN
american_scientific_journal-1841	6	27	−	−	NUM
american_scientific_journal-1841	6	28	1	1	NUM
american_scientific_journal-1841	6	29	2	2	NUM
american_scientific_journal-1841	6	30	𝑅𝑅	𝑅𝑅	PROPN
american_scientific_journal-1841	6	31	�	�	PROPN
american_scientific_journal-1841	6	32	𝑔𝑔𝜇𝜇𝜇𝜇	𝑔𝑔𝜇𝜇𝜇𝜇	NOUN
american_scientific_journal-1841	6	33	=	=	PROPN
american_scientific_journal-1841	6	34	𝜅𝜅𝜅𝜅𝜇𝜇𝜇𝜇	𝜅𝜅𝜅𝜅𝜇𝜇𝜇𝜇	NOUN
american_scientific_journal-1841	6	35	−	−	PROPN
american_scientific_journal-1841	7	1	𝛬𝛬𝑔𝑔𝜇𝜇𝜇𝜇	𝛬𝛬𝑔𝑔𝜇𝜇𝜇𝜇	PROPN
american_scientific_journal-1841	7	2	(	(	PUNCT
american_scientific_journal-1841	7	3	1.1	1.1	NUM
american_scientific_journal-1841	7	4	)	)	PUNCT
american_scientific_journal-1841	7	5	-----------------------------------------------------------------------	-----------------------------------------------------------------------	PUNCT
american_scientific_journal-1841	8	1	*	*	PUNCT
american_scientific_journal-1841	8	2	corresponding	correspond	VERB
american_scientific_journal-1841	8	3	author	author	NOUN
american_scientific_journal-1841	8	4	.	.	PUNCT
american_scientific_journal-1841	9	1	http://asrjetsjournal.org/	http://asrjetsjournal.org/	PROPN
american_scientific_journal-1841	9	2	american	american	PROPN
american_scientific_journal-1841	9	3	scientific	scientific	PROPN
american_scientific_journal-1841	9	4	research	research	NOUN
american_scientific_journal-1841	9	5	journal	journal	NOUN
american_scientific_journal-1841	9	6	for	for	ADP
american_scientific_journal-1841	9	7	engineering	engineering	NOUN
american_scientific_journal-1841	9	8	,	,	PUNCT
american_scientific_journal-1841	9	9	technology	technology	NOUN
american_scientific_journal-1841	9	10	,	,	PUNCT
american_scientific_journal-1841	9	11	and	and	CCONJ
american_scientific_journal-1841	9	12	sciences	science	NOUN
american_scientific_journal-1841	9	13	(	(	PUNCT
american_scientific_journal-1841	9	14	asrjets	asrjet	NOUN
american_scientific_journal-1841	9	15	)	)	PUNCT
american_scientific_journal-1841	9	16	(	(	PUNCT
american_scientific_journal-1841	9	17	2016	2016	NUM
american_scientific_journal-1841	9	18	)	)	PUNCT
american_scientific_journal-1841	9	19	volume	volume	NOUN
american_scientific_journal-1841	9	20	22	22	NUM
american_scientific_journal-1841	9	21	,	,	PUNCT
american_scientific_journal-1841	9	22	no	no	DET
american_scientific_journal-1841	9	23	1	1	NUM
american_scientific_journal-1841	9	24	,	,	PUNCT
american_scientific_journal-1841	9	25	pp	pp	ADV
american_scientific_journal-1841	9	26	184	184	NUM
american_scientific_journal-1841	9	27	-	-	SYM
american_scientific_journal-1841	9	28	194	194	NUM
american_scientific_journal-1841	9	29	185	185	NUM
american_scientific_journal-1841	9	30	where	where	SCONJ
american_scientific_journal-1841	9	31	rμυ	rμυ	ADV
american_scientific_journal-1841	9	32	,	,	PUNCT
american_scientific_journal-1841	9	33	gμυ	gμυ	NOUN
american_scientific_journal-1841	9	34	,	,	PUNCT
american_scientific_journal-1841	9	35	tμυ	tμυ	PROPN
american_scientific_journal-1841	9	36	are	be	AUX
american_scientific_journal-1841	9	37	the	the	DET
american_scientific_journal-1841	9	38	ricci	ricci	PROPN
american_scientific_journal-1841	9	39	tensor	tensor	NOUN
american_scientific_journal-1841	9	40	,	,	PUNCT
american_scientific_journal-1841	9	41	metric	metric	ADJ
american_scientific_journal-1841	9	42	tensor	tensor	NOUN
american_scientific_journal-1841	9	43	and	and	CCONJ
american_scientific_journal-1841	9	44	the	the	DET
american_scientific_journal-1841	9	45	energy	energy	NOUN
american_scientific_journal-1841	9	46	momentum	momentum	NOUN
american_scientific_journal-1841	9	47	tensor	tensor	NOUN
american_scientific_journal-1841	9	48	of	of	ADP
american_scientific_journal-1841	9	49	ordinary	ordinary	ADJ
american_scientific_journal-1841	9	50	matter	matter	NOUN
american_scientific_journal-1841	9	51	and	and	CCONJ
american_scientific_journal-1841	9	52	radiation	radiation	NOUN
american_scientific_journal-1841	9	53	respectively,𝑅𝑅	respectively,𝑅𝑅	PROPN
american_scientific_journal-1841	9	54	�	�	PROPN
american_scientific_journal-1841	9	55	is	be	AUX
american_scientific_journal-1841	9	56	the	the	DET
american_scientific_journal-1841	9	57	ricci	ricci	PROPN
american_scientific_journal-1841	9	58	scalar,𝛬𝛬	scalar,𝛬𝛬	PROPN
american_scientific_journal-1841	9	59	is	be	AUX
american_scientific_journal-1841	9	60	the	the	DET
american_scientific_journal-1841	9	61	cosmological	cosmological	ADJ
american_scientific_journal-1841	9	62	term	term	NOUN
american_scientific_journal-1841	9	63	and	and	CCONJ
american_scientific_journal-1841	9	64	𝜅𝜅	𝜅𝜅	NOUN
american_scientific_journal-1841	9	65	=	=	PROPN
american_scientific_journal-1841	9	66	−8𝜋𝜋𝜋𝜋	−8𝜋𝜋𝜋𝜋	PROPN
american_scientific_journal-1841	9	67	𝑐𝑐2	𝑐𝑐2	PROPN
american_scientific_journal-1841	9	68	.	.	PUNCT
american_scientific_journal-1841	10	1	the	the	DET
american_scientific_journal-1841	10	2	𝛬𝛬	𝛬𝛬	PROPN
american_scientific_journal-1841	10	3	term	term	NOUN
american_scientific_journal-1841	10	4	with	with	ADP
american_scientific_journal-1841	10	5	the	the	DET
american_scientific_journal-1841	10	6	metric	metric	ADJ
american_scientific_journal-1841	10	7	tensor	tensor	NOUN
american_scientific_journal-1841	10	8	,	,	PUNCT
american_scientific_journal-1841	10	9	is	be	AUX
american_scientific_journal-1841	10	10	written	write	VERB
american_scientific_journal-1841	10	11	on	on	ADP
american_scientific_journal-1841	10	12	the	the	DET
american_scientific_journal-1841	10	13	right	right	ADJ
american_scientific_journal-1841	10	14	hand	hand	NOUN
american_scientific_journal-1841	10	15	side	side	NOUN
american_scientific_journal-1841	10	16	of	of	ADP
american_scientific_journal-1841	10	17	the	the	DET
american_scientific_journal-1841	10	18	equations	equation	NOUN
american_scientific_journal-1841	10	19	as	as	SCONJ
american_scientific_journal-1841	10	20	we	we	PRON
american_scientific_journal-1841	10	21	take	take	VERB
american_scientific_journal-1841	10	22	it	it	PRON
american_scientific_journal-1841	10	23	to	to	PART
american_scientific_journal-1841	10	24	represent	represent	VERB
american_scientific_journal-1841	10	25	the	the	DET
american_scientific_journal-1841	10	26	energy	energy	NOUN
american_scientific_journal-1841	10	27	momentum	momentum	NOUN
american_scientific_journal-1841	10	28	tensor	tensor	NOUN
american_scientific_journal-1841	10	29	due	due	ADP
american_scientific_journal-1841	10	30	to	to	ADP
american_scientific_journal-1841	10	31	spacetime	spacetime	NOUN
american_scientific_journal-1841	10	32	.	.	PUNCT
american_scientific_journal-1841	11	1	this	this	PRON
american_scientific_journal-1841	11	2	is	be	AUX
american_scientific_journal-1841	11	3	a	a	DET
american_scientific_journal-1841	11	4	new	new	ADJ
american_scientific_journal-1841	11	5	interpretation	interpretation	NOUN
american_scientific_journal-1841	11	6	and	and	CCONJ
american_scientific_journal-1841	11	7	the	the	DET
american_scientific_journal-1841	11	8	first	first	ADJ
american_scientific_journal-1841	11	9	term	term	NOUN
american_scientific_journal-1841	11	10	on	on	ADP
american_scientific_journal-1841	11	11	the	the	DET
american_scientific_journal-1841	11	12	right	right	ADJ
american_scientific_journal-1841	11	13	hand	hand	NOUN
american_scientific_journal-1841	11	14	side	side	NOUN
american_scientific_journal-1841	11	15	of	of	ADP
american_scientific_journal-1841	11	16	the	the	DET
american_scientific_journal-1841	11	17	equation	equation	NOUN
american_scientific_journal-1841	11	18	represents	represent	VERB
american_scientific_journal-1841	11	19	the	the	DET
american_scientific_journal-1841	11	20	usual	usual	ADJ
american_scientific_journal-1841	11	21	energy	energy	NOUN
american_scientific_journal-1841	11	22	momentum	momentum	NOUN
american_scientific_journal-1841	11	23	tensor	tensor	NOUN
american_scientific_journal-1841	11	24	due	due	ADP
american_scientific_journal-1841	11	25	to	to	PART
american_scientific_journal-1841	11	26	matter	matter	VERB
american_scientific_journal-1841	11	27	and	and	CCONJ
american_scientific_journal-1841	11	28	radiation	radiation	NOUN
american_scientific_journal-1841	11	29	,	,	PUNCT
american_scientific_journal-1841	11	30	and	and	CCONJ
american_scientific_journal-1841	11	31	the	the	DET
american_scientific_journal-1841	11	32	second	second	ADJ
american_scientific_journal-1841	11	33	term	term	NOUN
american_scientific_journal-1841	11	34	represents	represent	VERB
american_scientific_journal-1841	11	35	the	the	DET
american_scientific_journal-1841	11	36	energy	energy	NOUN
american_scientific_journal-1841	11	37	momentum	momentum	NOUN
american_scientific_journal-1841	11	38	tensor	tensor	NOUN
american_scientific_journal-1841	11	39	due	due	ADP
american_scientific_journal-1841	11	40	to	to	ADP
american_scientific_journal-1841	11	41	space	space	NOUN
american_scientific_journal-1841	11	42	-	-	PUNCT
american_scientific_journal-1841	11	43	time	time	NOUN
american_scientific_journal-1841	11	44	.	.	PUNCT
american_scientific_journal-1841	12	1	the	the	DET
american_scientific_journal-1841	12	2	space	space	NOUN
american_scientific_journal-1841	12	3	-	-	PUNCT
american_scientific_journal-1841	12	4	time	time	NOUN
american_scientific_journal-1841	12	5	itself	itself	PRON
american_scientific_journal-1841	12	6	is	be	AUX
american_scientific_journal-1841	12	7	considered	consider	VERB
american_scientific_journal-1841	12	8	as	as	ADP
american_scientific_journal-1841	12	9	a	a	DET
american_scientific_journal-1841	12	10	source	source	NOUN
american_scientific_journal-1841	12	11	of	of	ADP
american_scientific_journal-1841	12	12	energymomentum	energymomentum	NOUN
american_scientific_journal-1841	12	13	.	.	PUNCT
american_scientific_journal-1841	13	1	the	the	DET
american_scientific_journal-1841	13	2	space	space	NOUN
american_scientific_journal-1841	13	3	time	time	NOUN
american_scientific_journal-1841	13	4	is	be	AUX
american_scientific_journal-1841	13	5	determined	determine	VERB
american_scientific_journal-1841	13	6	by	by	ADP
american_scientific_journal-1841	13	7	not	not	PART
american_scientific_journal-1841	13	8	only	only	ADV
american_scientific_journal-1841	13	9	ordinary	ordinary	ADJ
american_scientific_journal-1841	13	10	matter	matter	NOUN
american_scientific_journal-1841	13	11	and	and	CCONJ
american_scientific_journal-1841	13	12	radiation	radiation	NOUN
american_scientific_journal-1841	13	13	but	but	CCONJ
american_scientific_journal-1841	13	14	by	by	ADP
american_scientific_journal-1841	13	15	space	space	NOUN
american_scientific_journal-1841	13	16	time	time	NOUN
american_scientific_journal-1841	13	17	itself	itself	PRON
american_scientific_journal-1841	13	18	as	as	ADV
american_scientific_journal-1841	13	19	well	well	ADV
american_scientific_journal-1841	13	20	.	.	PUNCT
american_scientific_journal-1841	14	1	the	the	DET
american_scientific_journal-1841	14	2	space	space	NOUN
american_scientific_journal-1841	14	3	time	time	NOUN
american_scientific_journal-1841	14	4	(	(	PUNCT
american_scientific_journal-1841	14	5	space	space	NOUN
american_scientific_journal-1841	14	6	and	and	CCONJ
american_scientific_journal-1841	14	7	time	time	NOUN
american_scientific_journal-1841	14	8	)	)	PUNCT
american_scientific_journal-1841	14	9	in	in	ADP
american_scientific_journal-1841	14	10	newtonian	newtonian	ADJ
american_scientific_journal-1841	14	11	formulation	formulation	NOUN
american_scientific_journal-1841	14	12	was	be	AUX
american_scientific_journal-1841	14	13	given	give	VERB
american_scientific_journal-1841	14	14	and	and	CCONJ
american_scientific_journal-1841	14	15	matter	matter	VERB
american_scientific_journal-1841	14	16	and	and	CCONJ
american_scientific_journal-1841	14	17	radiation	radiation	NOUN
american_scientific_journal-1841	14	18	existed	exist	VERB
american_scientific_journal-1841	14	19	in	in	ADP
american_scientific_journal-1841	14	20	a	a	DET
american_scientific_journal-1841	14	21	given	give	VERB
american_scientific_journal-1841	14	22	space	space	NOUN
american_scientific_journal-1841	14	23	time	time	NOUN
american_scientific_journal-1841	14	24	.	.	PUNCT
american_scientific_journal-1841	15	1	in	in	ADP
american_scientific_journal-1841	15	2	the	the	DET
american_scientific_journal-1841	15	3	einsteinian	einsteinian	ADJ
american_scientific_journal-1841	15	4	formulation	formulation	NOUN
american_scientific_journal-1841	15	5	space	space	NOUN
american_scientific_journal-1841	15	6	time	time	NOUN
american_scientific_journal-1841	15	7	was	be	AUX
american_scientific_journal-1841	15	8	determined	determine	VERB
american_scientific_journal-1841	15	9	by	by	ADP
american_scientific_journal-1841	15	10	matter	matter	NOUN
american_scientific_journal-1841	15	11	and	and	CCONJ
american_scientific_journal-1841	15	12	radiation	radiation	NOUN
american_scientific_journal-1841	15	13	.	.	PUNCT
american_scientific_journal-1841	16	1	in	in	ADP
american_scientific_journal-1841	16	2	the	the	DET
american_scientific_journal-1841	16	3	present	present	ADJ
american_scientific_journal-1841	16	4	formulation	formulation	NOUN
american_scientific_journal-1841	16	5	space	space	NOUN
american_scientific_journal-1841	16	6	time	time	NOUN
american_scientific_journal-1841	16	7	is	be	AUX
american_scientific_journal-1841	16	8	determined	determine	VERB
american_scientific_journal-1841	16	9	by	by	ADP
american_scientific_journal-1841	16	10	space	space	NOUN
american_scientific_journal-1841	16	11	time	time	NOUN
american_scientific_journal-1841	16	12	itself	itself	PRON
american_scientific_journal-1841	16	13	in	in	ADP
american_scientific_journal-1841	16	14	addition	addition	NOUN
american_scientific_journal-1841	16	15	to	to	PART
american_scientific_journal-1841	16	16	matter	matter	VERB
american_scientific_journal-1841	16	17	and	and	CCONJ
american_scientific_journal-1841	16	18	radiation	radiation	NOUN
american_scientific_journal-1841	16	19	.	.	PUNCT
american_scientific_journal-1841	17	1	in	in	ADP
american_scientific_journal-1841	17	2	the	the	DET
american_scientific_journal-1841	17	3	original	original	ADJ
american_scientific_journal-1841	17	4	version	version	NOUN
american_scientific_journal-1841	17	5	of	of	ADP
american_scientific_journal-1841	17	6	equations	equation	NOUN
american_scientific_journal-1841	17	7	of	of	ADP
american_scientific_journal-1841	17	8	einstein	einstein	NOUN
american_scientific_journal-1841	17	9	the	the	DET
american_scientific_journal-1841	17	10	𝛬𝛬	𝛬𝛬	PROPN
american_scientific_journal-1841	17	11	term	term	NOUN
american_scientific_journal-1841	17	12	is	be	AUX
american_scientific_journal-1841	17	13	written	write	VERB
american_scientific_journal-1841	17	14	on	on	ADP
american_scientific_journal-1841	17	15	the	the	DET
american_scientific_journal-1841	17	16	left	left	ADJ
american_scientific_journal-1841	17	17	hand	hand	NOUN
american_scientific_journal-1841	17	18	side	side	NOUN
american_scientific_journal-1841	17	19	of	of	ADP
american_scientific_journal-1841	17	20	the	the	DET
american_scientific_journal-1841	17	21	equations	equation	NOUN
american_scientific_journal-1841	17	22	as	as	ADP
american_scientific_journal-1841	17	23	a	a	DET
american_scientific_journal-1841	17	24	geometrical	geometrical	ADJ
american_scientific_journal-1841	17	25	tensor	tensor	NOUN
american_scientific_journal-1841	17	26	,	,	PUNCT
american_scientific_journal-1841	17	27	and	and	CCONJ
american_scientific_journal-1841	17	28	the	the	DET
american_scientific_journal-1841	17	29	right	right	ADJ
american_scientific_journal-1841	17	30	hand	hand	NOUN
american_scientific_journal-1841	17	31	side	side	NOUN
american_scientific_journal-1841	17	32	of	of	ADP
american_scientific_journal-1841	17	33	the	the	DET
american_scientific_journal-1841	17	34	equations	equation	NOUN
american_scientific_journal-1841	17	35	consists	consist	VERB
american_scientific_journal-1841	17	36	only	only	ADV
american_scientific_journal-1841	17	37	of	of	ADP
american_scientific_journal-1841	17	38	the	the	DET
american_scientific_journal-1841	17	39	energymomentum	energymomentum	NOUN
american_scientific_journal-1841	17	40	tensor	tensor	NOUN
american_scientific_journal-1841	17	41	due	due	ADP
american_scientific_journal-1841	17	42	to	to	PART
american_scientific_journal-1841	17	43	matter	matter	VERB
american_scientific_journal-1841	17	44	and	and	CCONJ
american_scientific_journal-1841	17	45	radiation	radiation	NOUN
american_scientific_journal-1841	17	46	.	.	PUNCT
american_scientific_journal-1841	18	1	the	the	DET
american_scientific_journal-1841	18	2	𝛬𝛬	𝛬𝛬	PROPN
american_scientific_journal-1841	18	3	term	term	NOUN
american_scientific_journal-1841	18	4	,	,	PUNCT
american_scientific_journal-1841	18	5	as	as	ADP
american_scientific_journal-1841	18	6	a	a	DET
american_scientific_journal-1841	18	7	positive	positive	ADJ
american_scientific_journal-1841	18	8	constant	constant	ADJ
american_scientific_journal-1841	18	9	,	,	PUNCT
american_scientific_journal-1841	18	10	and	and	CCONJ
american_scientific_journal-1841	18	11	written	write	VERB
american_scientific_journal-1841	18	12	on	on	ADP
american_scientific_journal-1841	18	13	the	the	DET
american_scientific_journal-1841	18	14	left	left	ADJ
american_scientific_journal-1841	18	15	hand	hand	NOUN
american_scientific_journal-1841	18	16	side	side	NOUN
american_scientific_journal-1841	18	17	of	of	ADP
american_scientific_journal-1841	18	18	the	the	DET
american_scientific_journal-1841	18	19	field	field	NOUN
american_scientific_journal-1841	18	20	equations	equation	NOUN
american_scientific_journal-1841	18	21	in	in	ADP
american_scientific_journal-1841	18	22	the	the	DET
american_scientific_journal-1841	18	23	given	give	VERB
american_scientific_journal-1841	18	24	sign	sign	NOUN
american_scientific_journal-1841	18	25	convention	convention	PROPN
american_scientific_journal-1841	18	26	,	,	PUNCT
american_scientific_journal-1841	18	27	gives	give	VERB
american_scientific_journal-1841	18	28	rise	rise	NOUN
american_scientific_journal-1841	18	29	to	to	ADP
american_scientific_journal-1841	18	30	a	a	DET
american_scientific_journal-1841	18	31	field	field	NOUN
american_scientific_journal-1841	18	32	that	that	PRON
american_scientific_journal-1841	18	33	repels	repel	VERB
american_scientific_journal-1841	18	34	particles	particle	NOUN
american_scientific_journal-1841	18	35	and	and	CCONJ
american_scientific_journal-1841	18	36	objects	object	NOUN
american_scientific_journal-1841	18	37	,	,	PUNCT
american_scientific_journal-1841	18	38	rather	rather	ADV
american_scientific_journal-1841	18	39	than	than	ADP
american_scientific_journal-1841	18	40	to	to	ADP
american_scientific_journal-1841	18	41	one	one	NUM
american_scientific_journal-1841	18	42	that	that	PRON
american_scientific_journal-1841	18	43	attracts	attract	VERB
american_scientific_journal-1841	18	44	them	they	PRON
american_scientific_journal-1841	18	45	.	.	PUNCT
american_scientific_journal-1841	19	1	einstein	einstein	PROPN
american_scientific_journal-1841	19	2	,	,	PUNCT
american_scientific_journal-1841	19	3	as	as	ADV
american_scientific_journal-1841	19	4	well	well	ADV
american_scientific_journal-1841	19	5	known	know	VERB
american_scientific_journal-1841	19	6	,	,	PUNCT
american_scientific_journal-1841	19	7	introduced	introduce	VERB
american_scientific_journal-1841	19	8	the	the	DET
american_scientific_journal-1841	19	9	term	term	NOUN
american_scientific_journal-1841	19	10	in	in	ADP
american_scientific_journal-1841	19	11	order	order	NOUN
american_scientific_journal-1841	19	12	to	to	PART
american_scientific_journal-1841	19	13	obtain	obtain	VERB
american_scientific_journal-1841	19	14	a	a	DET
american_scientific_journal-1841	19	15	static	static	ADJ
american_scientific_journal-1841	19	16	solution	solution	NOUN
american_scientific_journal-1841	19	17	instead	instead	ADV
american_scientific_journal-1841	19	18	of	of	ADP
american_scientific_journal-1841	19	19	the	the	DET
american_scientific_journal-1841	19	20	expanding	expand	VERB
american_scientific_journal-1841	19	21	universe	universe	NOUN
american_scientific_journal-1841	19	22	that	that	PRON
american_scientific_journal-1841	19	23	was	be	AUX
american_scientific_journal-1841	19	24	obtained	obtain	VERB
american_scientific_journal-1841	19	25	by	by	ADP
american_scientific_journal-1841	19	26	solving	solve	VERB
american_scientific_journal-1841	19	27	the	the	DET
american_scientific_journal-1841	19	28	original	original	ADJ
american_scientific_journal-1841	19	29	equations	equation	NOUN
american_scientific_journal-1841	19	30	without	without	ADP
american_scientific_journal-1841	19	31	the	the	DET
american_scientific_journal-1841	19	32	𝛬𝛬	𝛬𝛬	PROPN
american_scientific_journal-1841	19	33	term	term	NOUN
american_scientific_journal-1841	19	34	.	.	PUNCT
american_scientific_journal-1841	20	1	in	in	ADP
american_scientific_journal-1841	20	2	our	our	PRON
american_scientific_journal-1841	20	3	formulation	formulation	NOUN
american_scientific_journal-1841	20	4	𝛬𝛬	𝛬𝛬	PROPN
american_scientific_journal-1841	20	5	term	term	NOUN
american_scientific_journal-1841	20	6	could	could	AUX
american_scientific_journal-1841	20	7	be	be	AUX
american_scientific_journal-1841	20	8	a	a	DET
american_scientific_journal-1841	20	9	variable	variable	NOUN
american_scientific_journal-1841	20	10	either	either	CCONJ
american_scientific_journal-1841	20	11	positive	positive	ADJ
american_scientific_journal-1841	20	12	or	or	CCONJ
american_scientific_journal-1841	20	13	negative	negative	ADJ
american_scientific_journal-1841	20	14	.	.	PUNCT
american_scientific_journal-1841	21	1	2	2	X
american_scientific_journal-1841	21	2	.	.	X
american_scientific_journal-1841	21	3	𝜦𝜦gμυ	𝜦𝜦gμυ	NOUN
american_scientific_journal-1841	21	4	as	as	ADP
american_scientific_journal-1841	21	5	a	a	DET
american_scientific_journal-1841	21	6	tensor	tensor	NOUN
american_scientific_journal-1841	21	7	representing	represent	VERB
american_scientific_journal-1841	21	8	energy	energy	NOUN
american_scientific_journal-1841	21	9	momentum	momentum	NOUN
american_scientific_journal-1841	21	10	when	when	SCONJ
american_scientific_journal-1841	21	11	the	the	DET
american_scientific_journal-1841	21	12	𝛬𝛬	𝛬𝛬	PROPN
american_scientific_journal-1841	21	13	term	term	NOUN
american_scientific_journal-1841	21	14	with	with	ADP
american_scientific_journal-1841	21	15	the	the	DET
american_scientific_journal-1841	21	16	metric	metric	ADJ
american_scientific_journal-1841	21	17	tensor	tensor	NOUN
american_scientific_journal-1841	21	18	is	be	AUX
american_scientific_journal-1841	21	19	written	write	VERB
american_scientific_journal-1841	21	20	on	on	ADP
american_scientific_journal-1841	21	21	the	the	DET
american_scientific_journal-1841	21	22	right	right	ADJ
american_scientific_journal-1841	21	23	hand	hand	NOUN
american_scientific_journal-1841	21	24	side	side	NOUN
american_scientific_journal-1841	21	25	of	of	ADP
american_scientific_journal-1841	21	26	the	the	DET
american_scientific_journal-1841	21	27	equations	equation	NOUN
american_scientific_journal-1841	21	28	as	as	ADP
american_scientific_journal-1841	21	29	a	a	DET
american_scientific_journal-1841	21	30	term	term	NOUN
american_scientific_journal-1841	21	31	that	that	PRON
american_scientific_journal-1841	21	32	represents	represent	VERB
american_scientific_journal-1841	21	33	the	the	DET
american_scientific_journal-1841	21	34	energy	energy	NOUN
american_scientific_journal-1841	21	35	momentum	momentum	NOUN
american_scientific_journal-1841	21	36	tensor	tensor	NOUN
american_scientific_journal-1841	21	37	of	of	ADP
american_scientific_journal-1841	21	38	the	the	DET
american_scientific_journal-1841	21	39	space	space	NOUN
american_scientific_journal-1841	21	40	-	-	PUNCT
american_scientific_journal-1841	21	41	time	time	NOUN
american_scientific_journal-1841	21	42	itself	itself	PRON
american_scientific_journal-1841	21	43	,	,	PUNCT
american_scientific_journal-1841	21	44	it	it	PRON
american_scientific_journal-1841	21	45	presents	present	VERB
american_scientific_journal-1841	21	46	a	a	DET
american_scientific_journal-1841	21	47	different	different	ADJ
american_scientific_journal-1841	21	48	picture	picture	NOUN
american_scientific_journal-1841	21	49	altogether	altogether	ADV
american_scientific_journal-1841	21	50	.	.	PUNCT
american_scientific_journal-1841	22	1	the	the	DET
american_scientific_journal-1841	22	2	𝛬𝛬	𝛬𝛬	PROPN
american_scientific_journal-1841	22	3	term	term	NOUN
american_scientific_journal-1841	22	4	with	with	ADP
american_scientific_journal-1841	22	5	the	the	DET
american_scientific_journal-1841	22	6	metric	metric	ADJ
american_scientific_journal-1841	22	7	tensor	tensor	NOUN
american_scientific_journal-1841	22	8	now	now	ADV
american_scientific_journal-1841	22	9	represents	represent	VERB
american_scientific_journal-1841	22	10	a	a	DET
american_scientific_journal-1841	22	11	space	space	NOUN
american_scientific_journal-1841	22	12	-	-	PUNCT
american_scientific_journal-1841	22	13	time	time	NOUN
american_scientific_journal-1841	22	14	that	that	PRON
american_scientific_journal-1841	22	15	is	be	AUX
american_scientific_journal-1841	22	16	a	a	DET
american_scientific_journal-1841	22	17	source	source	NOUN
american_scientific_journal-1841	22	18	for	for	ADP
american_scientific_journal-1841	22	19	the	the	DET
american_scientific_journal-1841	22	20	spacetime	spacetime	NOUN
american_scientific_journal-1841	22	21	itself	itself	PRON
american_scientific_journal-1841	22	22	,	,	PUNCT
american_scientific_journal-1841	22	23	while	while	SCONJ
american_scientific_journal-1841	22	24	having	have	VERB
american_scientific_journal-1841	22	25	an	an	DET
american_scientific_journal-1841	22	26	energy	energy	NOUN
american_scientific_journal-1841	22	27	momentum	momentum	NOUN
american_scientific_journal-1841	22	28	of	of	ADP
american_scientific_journal-1841	22	29	its	its	PRON
american_scientific_journal-1841	22	30	own	own	ADJ
american_scientific_journal-1841	22	31	.	.	PUNCT
american_scientific_journal-1841	23	1	this	this	DET
american_scientific_journal-1841	23	2	energy	energy	NOUN
american_scientific_journal-1841	23	3	of	of	ADP
american_scientific_journal-1841	23	4	the	the	DET
american_scientific_journal-1841	23	5	space	space	NOUN
american_scientific_journal-1841	23	6	time	time	NOUN
american_scientific_journal-1841	23	7	is	be	AUX
american_scientific_journal-1841	23	8	not	not	PART
american_scientific_journal-1841	23	9	the	the	DET
american_scientific_journal-1841	23	10	same	same	ADJ
american_scientific_journal-1841	23	11	as	as	ADP
american_scientific_journal-1841	23	12	the	the	DET
american_scientific_journal-1841	23	13	vacuum	vacuum	NOUN
american_scientific_journal-1841	23	14	energy	energy	NOUN
american_scientific_journal-1841	23	15	in	in	ADP
american_scientific_journal-1841	23	16	general	general	ADJ
american_scientific_journal-1841	23	17	,	,	PUNCT
american_scientific_journal-1841	23	18	however	however	ADV
american_scientific_journal-1841	23	19	,	,	PUNCT
american_scientific_journal-1841	23	20	we	we	PRON
american_scientific_journal-1841	23	21	do	do	AUX
american_scientific_journal-1841	23	22	not	not	PART
american_scientific_journal-1841	23	23	rule	rule	VERB
american_scientific_journal-1841	23	24	out	out	ADP
american_scientific_journal-1841	23	25	the	the	DET
american_scientific_journal-1841	23	26	possibility	possibility	NOUN
american_scientific_journal-1841	23	27	of	of	ADP
american_scientific_journal-1841	23	28	space	space	NOUN
american_scientific_journal-1841	23	29	time	time	NOUN
american_scientific_journal-1841	23	30	energy	energy	NOUN
american_scientific_journal-1841	23	31	giving	give	VERB
american_scientific_journal-1841	23	32	the	the	DET
american_scientific_journal-1841	23	33	vacuum	vacuum	NOUN
american_scientific_journal-1841	23	34	energy	energy	NOUN
american_scientific_journal-1841	23	35	at	at	ADP
american_scientific_journal-1841	23	36	some	some	DET
american_scientific_journal-1841	23	37	epoch	epoch	NOUN
american_scientific_journal-1841	23	38	in	in	ADP
american_scientific_journal-1841	23	39	the	the	DET
american_scientific_journal-1841	23	40	evolution	evolution	NOUN
american_scientific_journal-1841	23	41	of	of	ADP
american_scientific_journal-1841	23	42	the	the	DET
american_scientific_journal-1841	23	43	universe	universe	NOUN
american_scientific_journal-1841	23	44	.	.	PUNCT
american_scientific_journal-1841	24	1	now	now	ADV
american_scientific_journal-1841	24	2	the	the	DET
american_scientific_journal-1841	24	3	left	left	ADJ
american_scientific_journal-1841	24	4	hand	hand	NOUN
american_scientific_journal-1841	24	5	side	side	NOUN
american_scientific_journal-1841	24	6	of	of	ADP
american_scientific_journal-1841	24	7	the	the	DET
american_scientific_journal-1841	24	8	equation	equation	NOUN
american_scientific_journal-1841	24	9	(	(	PUNCT
american_scientific_journal-1841	24	10	1.1	1.1	NUM
american_scientific_journal-1841	24	11	)	)	PUNCT
american_scientific_journal-1841	24	12	is	be	AUX
american_scientific_journal-1841	24	13	divergenceless	divergenceless	NOUN
american_scientific_journal-1841	24	14	,	,	PUNCT
american_scientific_journal-1841	24	15	and	and	CCONJ
american_scientific_journal-1841	24	16	hence	hence	ADV
american_scientific_journal-1841	24	17	the	the	DET
american_scientific_journal-1841	24	18	right	right	ADJ
american_scientific_journal-1841	24	19	hand	hand	NOUN
american_scientific_journal-1841	24	20	side	side	NOUN
american_scientific_journal-1841	24	21	also	also	ADV
american_scientific_journal-1841	24	22	should	should	AUX
american_scientific_journal-1841	24	23	be	be	AUX
american_scientific_journal-1841	24	24	divergenceless	divergenceless	ADJ
american_scientific_journal-1841	24	25	.	.	PUNCT
american_scientific_journal-1841	25	1	if	if	SCONJ
american_scientific_journal-1841	25	2	𝛬𝛬is	𝛬𝛬is	ADJ
american_scientific_journal-1841	25	3	considered	consider	VERB
american_scientific_journal-1841	25	4	as	as	ADP
american_scientific_journal-1841	25	5	a	a	DET
american_scientific_journal-1841	25	6	constant	constant	ADJ
american_scientific_journal-1841	25	7	,	,	PUNCT
american_scientific_journal-1841	25	8	then	then	ADV
american_scientific_journal-1841	25	9	since	since	SCONJ
american_scientific_journal-1841	25	10	the	the	DET
american_scientific_journal-1841	25	11	metric	metric	ADJ
american_scientific_journal-1841	25	12	tensor	tensor	NOUN
american_scientific_journal-1841	25	13	is	be	AUX
american_scientific_journal-1841	25	14	divergenceless	divergenceless	NOUN
american_scientific_journal-1841	25	15	it	it	PRON
american_scientific_journal-1841	25	16	implies	imply	VERB
american_scientific_journal-1841	25	17	that	that	SCONJ
american_scientific_journal-1841	25	18	the	the	DET
american_scientific_journal-1841	25	19	energy	energy	NOUN
american_scientific_journal-1841	25	20	momentum	momentum	NOUN
american_scientific_journal-1841	25	21	tensor	tensor	NOUN
american_scientific_journal-1841	25	22	of	of	ADP
american_scientific_journal-1841	25	23	ordinary	ordinary	ADJ
american_scientific_journal-1841	25	24	matter	matter	NOUN
american_scientific_journal-1841	25	25	and	and	CCONJ
american_scientific_journal-1841	25	26	radiation	radiation	NOUN
american_scientific_journal-1841	25	27	is	be	AUX
american_scientific_journal-1841	25	28	also	also	ADV
american_scientific_journal-1841	25	29	divergenceless	divergenceless	NOUN
american_scientific_journal-1841	25	30	as	as	ADP
american_scientific_journal-1841	25	31	in	in	ADP
american_scientific_journal-1841	25	32	the	the	DET
american_scientific_journal-1841	25	33	original	original	ADJ
american_scientific_journal-1841	25	34	equations	equation	NOUN
american_scientific_journal-1841	25	35	of	of	ADP
american_scientific_journal-1841	25	36	einstein	einstein	NOUN
american_scientific_journal-1841	25	37	.	.	PUNCT
american_scientific_journal-1841	26	1	in	in	ADP
american_scientific_journal-1841	26	2	this	this	DET
american_scientific_journal-1841	26	3	case	case	NOUN
american_scientific_journal-1841	26	4	the	the	DET
american_scientific_journal-1841	26	5	energy	energy	NOUN
american_scientific_journal-1841	26	6	of	of	ADP
american_scientific_journal-1841	26	7	the	the	DET
american_scientific_journal-1841	26	8	space	space	NOUN
american_scientific_journal-1841	26	9	time	time	NOUN
american_scientific_journal-1841	26	10	is	be	AUX
american_scientific_journal-1841	26	11	“	"	PUNCT
american_scientific_journal-1841	26	12	conserved	conserve	VERB
american_scientific_journal-1841	26	13	”	"	PUNCT
american_scientific_journal-1841	26	14	as	as	SCONJ
american_scientific_journal-1841	26	15	the	the	DET
american_scientific_journal-1841	26	16	energy	energy	NOUN
american_scientific_journal-1841	26	17	momentum	momentum	NOUN
american_scientific_journal-1841	26	18	tensor	tensor	NOUN
american_scientific_journal-1841	26	19	of	of	ADP
american_scientific_journal-1841	26	20	the	the	DET
american_scientific_journal-1841	26	21	spacetime	spacetime	NOUN
american_scientific_journal-1841	26	22	is	be	AUX
american_scientific_journal-1841	26	23	also	also	ADV
american_scientific_journal-1841	26	24	divergenceless	divergenceless	NOUN
american_scientific_journal-1841	26	25	.	.	PUNCT
american_scientific_journal-1841	27	1	however	however	ADV
american_scientific_journal-1841	27	2	,	,	PUNCT
american_scientific_journal-1841	27	3	if	if	SCONJ
american_scientific_journal-1841	27	4	𝛬𝛬	𝛬𝛬	PROPN
american_scientific_journal-1841	27	5	is	be	AUX
american_scientific_journal-1841	27	6	not	not	PART
american_scientific_journal-1841	27	7	a	a	DET
american_scientific_journal-1841	27	8	constant	constant	ADJ
american_scientific_journal-1841	27	9	,	,	PUNCT
american_scientific_journal-1841	27	10	then	then	ADV
american_scientific_journal-1841	27	11	𝛬𝛬gμυ	𝛬𝛬gμυ	PROPN
american_scientific_journal-1841	27	12	is	be	AUX
american_scientific_journal-1841	27	13	not	not	PART
american_scientific_journal-1841	27	14	divergenceless	divergenceless	NOUN
american_scientific_journal-1841	27	15	implying	imply	VERB
american_scientific_journal-1841	27	16	that	that	SCONJ
american_scientific_journal-1841	27	17	the	the	DET
american_scientific_journal-1841	27	18	energy	energy	NOUN
american_scientific_journal-1841	27	19	momentum	momentum	NOUN
american_scientific_journal-1841	27	20	tensor	tensor	NOUN
american_scientific_journal-1841	27	21	is	be	AUX
american_scientific_journal-1841	27	22	also	also	ADV
american_scientific_journal-1841	27	23	not	not	PART
american_scientific_journal-1841	27	24	divergenceless	divergenceless	NOUN
american_scientific_journal-1841	27	25	,	,	PUNCT
american_scientific_journal-1841	27	26	for	for	ADP
american_scientific_journal-1841	27	27	the	the	DET
american_scientific_journal-1841	27	28	sum	sum	NOUN
american_scientific_journal-1841	27	29	of	of	ADP
american_scientific_journal-1841	27	30	the	the	DET
american_scientific_journal-1841	27	31	two	two	NUM
american_scientific_journal-1841	27	32	terms	term	NOUN
american_scientific_journal-1841	27	33	on	on	ADP
american_scientific_journal-1841	27	34	the	the	DET
american_scientific_journal-1841	27	35	right	right	ADJ
american_scientific_journal-1841	27	36	hand	hand	NOUN
american_scientific_journal-1841	27	37	side	side	NOUN
american_scientific_journal-1841	27	38	of	of	ADP
american_scientific_journal-1841	27	39	the	the	DET
american_scientific_journal-1841	27	40	equation	equation	NOUN
american_scientific_journal-1841	27	41	(	(	PUNCT
american_scientific_journal-1841	27	42	1.1	1.1	NUM
american_scientific_journal-1841	27	43	)	)	PUNCT
american_scientific_journal-1841	27	44	has	have	VERB
american_scientific_journal-1841	27	45	to	to	PART
american_scientific_journal-1841	27	46	be	be	AUX
american_scientific_journal-1841	27	47	divergenceless	divergenceless	NOUN
american_scientific_journal-1841	27	48	.	.	PUNCT
american_scientific_journal-1841	28	1	american	american	ADJ
american_scientific_journal-1841	28	2	scientific	scientific	ADJ
american_scientific_journal-1841	28	3	research	research	PROPN
american_scientific_journal-1841	28	4	journal	journal	NOUN
american_scientific_journal-1841	28	5	for	for	ADP
american_scientific_journal-1841	28	6	engineering	engineering	NOUN
american_scientific_journal-1841	28	7	,	,	PUNCT
american_scientific_journal-1841	28	8	technology	technology	NOUN
american_scientific_journal-1841	28	9	,	,	PUNCT
american_scientific_journal-1841	28	10	and	and	CCONJ
american_scientific_journal-1841	28	11	sciences	science	NOUN
american_scientific_journal-1841	28	12	(	(	PUNCT
american_scientific_journal-1841	28	13	asrjets	asrjet	NOUN
american_scientific_journal-1841	28	14	)	)	PUNCT
american_scientific_journal-1841	28	15	(	(	PUNCT
american_scientific_journal-1841	28	16	2016	2016	NUM
american_scientific_journal-1841	28	17	)	)	PUNCT
american_scientific_journal-1841	28	18	volume	volume	NOUN
american_scientific_journal-1841	28	19	22	22	NUM
american_scientific_journal-1841	28	20	,	,	PUNCT
american_scientific_journal-1841	28	21	no	no	DET
american_scientific_journal-1841	28	22	1	1	NUM
american_scientific_journal-1841	28	23	,	,	PUNCT
american_scientific_journal-1841	28	24	pp	pp	ADV
american_scientific_journal-1841	28	25	184	184	NUM
american_scientific_journal-1841	28	26	-	-	SYM
american_scientific_journal-1841	28	27	194	194	NUM
american_scientific_journal-1841	28	28	186	186	NUM
american_scientific_journal-1841	28	29	this	this	PRON
american_scientific_journal-1841	28	30	implies	imply	VERB
american_scientific_journal-1841	28	31	that	that	SCONJ
american_scientific_journal-1841	28	32	it	it	PRON
american_scientific_journal-1841	28	33	is	be	AUX
american_scientific_journal-1841	28	34	the	the	DET
american_scientific_journal-1841	28	35	total	total	NOUN
american_scientific_journal-1841	28	36	of	of	ADP
american_scientific_journal-1841	28	37	the	the	DET
american_scientific_journal-1841	28	38	energy	energy	NOUN
american_scientific_journal-1841	28	39	momentum	momentum	NOUN
american_scientific_journal-1841	28	40	of	of	ADP
american_scientific_journal-1841	28	41	matter	matter	NOUN
american_scientific_journal-1841	28	42	and	and	CCONJ
american_scientific_journal-1841	28	43	radiation	radiation	NOUN
american_scientific_journal-1841	28	44	,	,	PUNCT
american_scientific_journal-1841	28	45	and	and	CCONJ
american_scientific_journal-1841	28	46	that	that	PRON
american_scientific_journal-1841	28	47	of	of	ADP
american_scientific_journal-1841	28	48	the	the	DET
american_scientific_journal-1841	28	49	space	space	NOUN
american_scientific_journal-1841	28	50	-	-	PUNCT
american_scientific_journal-1841	28	51	time	time	NOUN
american_scientific_journal-1841	28	52	that	that	PRON
american_scientific_journal-1841	28	53	remains	remain	VERB
american_scientific_journal-1841	28	54	a	a	DET
american_scientific_journal-1841	28	55	constant	constant	ADJ
american_scientific_journal-1841	28	56	.	.	PUNCT
american_scientific_journal-1841	29	1	this	this	PRON
american_scientific_journal-1841	29	2	is	be	AUX
american_scientific_journal-1841	29	3	a	a	DET
american_scientific_journal-1841	29	4	new	new	ADJ
american_scientific_journal-1841	29	5	phenomenon	phenomenon	NOUN
american_scientific_journal-1841	29	6	arising	arise	VERB
american_scientific_journal-1841	29	7	out	out	ADP
american_scientific_journal-1841	29	8	of	of	ADP
american_scientific_journal-1841	29	9	consideration	consideration	NOUN
american_scientific_journal-1841	29	10	of	of	ADP
american_scientific_journal-1841	29	11	space	space	NOUN
american_scientific_journal-1841	29	12	-	-	PUNCT
american_scientific_journal-1841	29	13	time	time	NOUN
american_scientific_journal-1841	29	14	as	as	ADP
american_scientific_journal-1841	29	15	a	a	DET
american_scientific_journal-1841	29	16	form	form	NOUN
american_scientific_journal-1841	29	17	of	of	ADP
american_scientific_journal-1841	29	18	energy	energy	NOUN
american_scientific_journal-1841	29	19	.	.	PUNCT
american_scientific_journal-1841	30	1	the	the	DET
american_scientific_journal-1841	30	2	space	space	NOUN
american_scientific_journal-1841	30	3	-	-	PUNCT
american_scientific_journal-1841	30	4	time	time	NOUN
american_scientific_journal-1841	30	5	being	be	AUX
american_scientific_journal-1841	30	6	a	a	DET
american_scientific_journal-1841	30	7	form	form	NOUN
american_scientific_journal-1841	30	8	of	of	ADP
american_scientific_journal-1841	30	9	energy	energy	NOUN
american_scientific_journal-1841	30	10	can	can	AUX
american_scientific_journal-1841	30	11	be	be	AUX
american_scientific_journal-1841	30	12	converted	convert	VERB
american_scientific_journal-1841	30	13	to	to	ADP
american_scientific_journal-1841	30	14	other	other	ADJ
american_scientific_journal-1841	30	15	forms	form	NOUN
american_scientific_journal-1841	30	16	of	of	ADP
american_scientific_journal-1841	30	17	energy	energy	NOUN
american_scientific_journal-1841	30	18	and	and	CCONJ
american_scientific_journal-1841	30	19	vice	vice	NOUN
american_scientific_journal-1841	30	20	versa	versa	ADV
american_scientific_journal-1841	30	21	.	.	PUNCT
american_scientific_journal-1841	31	1	this	this	PRON
american_scientific_journal-1841	31	2	is	be	AUX
american_scientific_journal-1841	31	3	different	different	ADJ
american_scientific_journal-1841	31	4	from	from	ADP
american_scientific_journal-1841	31	5	the	the	DET
american_scientific_journal-1841	31	6	c	c	NOUN
american_scientific_journal-1841	31	7	-	-	PUNCT
american_scientific_journal-1841	31	8	field	field	NOUN
american_scientific_journal-1841	31	9	introduced	introduce	VERB
american_scientific_journal-1841	31	10	by	by	ADP
american_scientific_journal-1841	31	11	hoyle	hoyle	NOUN
american_scientific_journal-1841	31	12	,	,	PUNCT
american_scientific_journal-1841	31	13	(	(	PUNCT
american_scientific_journal-1841	31	14	see	see	VERB
american_scientific_journal-1841	31	15	for	for	ADP
american_scientific_journal-1841	31	16	example	example	NOUN
american_scientific_journal-1841	31	17	[	[	X
american_scientific_journal-1841	31	18	3	3	NUM
american_scientific_journal-1841	31	19	]	]	NUM
american_scientific_journal-1841	31	20	)	)	PUNCT
american_scientific_journal-1841	31	21	,	,	PUNCT
american_scientific_journal-1841	31	22	in	in	ADP
american_scientific_journal-1841	31	23	his	his	PRON
american_scientific_journal-1841	31	24	formulation	formulation	NOUN
american_scientific_journal-1841	31	25	of	of	ADP
american_scientific_journal-1841	31	26	the	the	DET
american_scientific_journal-1841	31	27	steady	steady	ADJ
american_scientific_journal-1841	31	28	state	state	NOUN
american_scientific_journal-1841	31	29	theory	theory	NOUN
american_scientific_journal-1841	31	30	.	.	PUNCT
american_scientific_journal-1841	32	1	in	in	ADP
american_scientific_journal-1841	32	2	the	the	DET
american_scientific_journal-1841	32	3	formulation	formulation	NOUN
american_scientific_journal-1841	32	4	of	of	ADP
american_scientific_journal-1841	32	5	hoyle	hoyle	NOUN
american_scientific_journal-1841	32	6	the	the	DET
american_scientific_journal-1841	32	7	c	c	NOUN
american_scientific_journal-1841	32	8	–	–	PUNCT
american_scientific_journal-1841	32	9	field	field	NOUN
american_scientific_journal-1841	32	10	contributed	contribute	VERB
american_scientific_journal-1841	32	11	to	to	ADP
american_scientific_journal-1841	32	12	continuous	continuous	ADJ
american_scientific_journal-1841	32	13	creation	creation	NOUN
american_scientific_journal-1841	32	14	of	of	ADP
american_scientific_journal-1841	32	15	matter	matter	NOUN
american_scientific_journal-1841	32	16	,	,	PUNCT
american_scientific_journal-1841	32	17	increasing	increase	VERB
american_scientific_journal-1841	32	18	the	the	DET
american_scientific_journal-1841	32	19	energy	energy	NOUN
american_scientific_journal-1841	32	20	of	of	ADP
american_scientific_journal-1841	32	21	the	the	DET
american_scientific_journal-1841	32	22	universe	universe	NOUN
american_scientific_journal-1841	32	23	.	.	PUNCT
american_scientific_journal-1841	33	1	there	there	PRON
american_scientific_journal-1841	33	2	was	be	VERB
american_scientific_journal-1841	33	3	no	no	DET
american_scientific_journal-1841	33	4	“	"	PUNCT
american_scientific_journal-1841	33	5	exchange	exchange	NOUN
american_scientific_journal-1841	33	6	”	"	PUNCT
american_scientific_journal-1841	33	7	of	of	ADP
american_scientific_journal-1841	33	8	energy	energy	NOUN
american_scientific_journal-1841	33	9	between	between	ADP
american_scientific_journal-1841	33	10	matter	matter	NOUN
american_scientific_journal-1841	33	11	and	and	CCONJ
american_scientific_journal-1841	33	12	energy	energy	NOUN
american_scientific_journal-1841	33	13	,	,	PUNCT
american_scientific_journal-1841	33	14	and	and	CCONJ
american_scientific_journal-1841	33	15	space	space	NOUN
american_scientific_journal-1841	33	16	time	time	NOUN
american_scientific_journal-1841	33	17	.	.	PUNCT
american_scientific_journal-1841	34	1	the	the	DET
american_scientific_journal-1841	34	2	above	above	ADJ
american_scientific_journal-1841	34	3	formulation	formulation	NOUN
american_scientific_journal-1841	34	4	does	do	AUX
american_scientific_journal-1841	34	5	not	not	PART
american_scientific_journal-1841	34	6	imply	imply	VERB
american_scientific_journal-1841	34	7	that	that	SCONJ
american_scientific_journal-1841	34	8	the	the	DET
american_scientific_journal-1841	34	9	space	space	NOUN
american_scientific_journal-1841	34	10	time	time	NOUN
american_scientific_journal-1841	34	11	would	would	AUX
american_scientific_journal-1841	34	12	interact	interact	VERB
american_scientific_journal-1841	34	13	with	with	ADP
american_scientific_journal-1841	34	14	electromagnetic	electromagnetic	ADJ
american_scientific_journal-1841	34	15	radiation	radiation	NOUN
american_scientific_journal-1841	34	16	,	,	PUNCT
american_scientific_journal-1841	34	17	it	it	PRON
american_scientific_journal-1841	34	18	only	only	ADV
american_scientific_journal-1841	34	19	means	mean	VERB
american_scientific_journal-1841	34	20	that	that	SCONJ
american_scientific_journal-1841	34	21	the	the	DET
american_scientific_journal-1841	34	22	energy	energy	NOUN
american_scientific_journal-1841	34	23	of	of	ADP
american_scientific_journal-1841	34	24	space	space	NOUN
american_scientific_journal-1841	34	25	time	time	NOUN
american_scientific_journal-1841	34	26	could	could	AUX
american_scientific_journal-1841	34	27	be	be	AUX
american_scientific_journal-1841	34	28	converted	convert	VERB
american_scientific_journal-1841	34	29	to	to	ADP
american_scientific_journal-1841	34	30	other	other	ADJ
american_scientific_journal-1841	34	31	forms	form	NOUN
american_scientific_journal-1841	34	32	of	of	ADP
american_scientific_journal-1841	34	33	energy	energy	NOUN
american_scientific_journal-1841	34	34	and	and	CCONJ
american_scientific_journal-1841	34	35	vice	vice	NOUN
american_scientific_journal-1841	34	36	versa	versa	ADV
american_scientific_journal-1841	34	37	.	.	PUNCT
american_scientific_journal-1841	35	1	3	3	X
american_scientific_journal-1841	35	2	.	.	X
american_scientific_journal-1841	35	3	robertson	robertson	PROPN
american_scientific_journal-1841	35	4	walker	walker	PROPN
american_scientific_journal-1841	35	5	space	space	PROPN
american_scientific_journal-1841	35	6	times	times	PROPN
american_scientific_journal-1841	35	7	for	for	ADP
american_scientific_journal-1841	35	8	different	different	ADJ
american_scientific_journal-1841	35	9	values	value	NOUN
american_scientific_journal-1841	35	10	of	of	ADP
american_scientific_journal-1841	35	11	𝜇𝜇	𝜇𝜇	NOUN
american_scientific_journal-1841	35	12	and	and	CCONJ
american_scientific_journal-1841	35	13	𝜈𝜈	𝜈𝜈	NOUN
american_scientific_journal-1841	35	14	in	in	ADP
american_scientific_journal-1841	35	15	the	the	DET
american_scientific_journal-1841	35	16	equation	equation	NOUN
american_scientific_journal-1841	35	17	(	(	PUNCT
american_scientific_journal-1841	35	18	1.1	1.1	NUM
american_scientific_journal-1841	35	19	)	)	PUNCT
american_scientific_journal-1841	35	20	,	,	PUNCT
american_scientific_journal-1841	35	21	we	we	PRON
american_scientific_journal-1841	35	22	obtain	obtain	VERB
american_scientific_journal-1841	35	23	the	the	DET
american_scientific_journal-1841	35	24	following	follow	VERB
american_scientific_journal-1841	35	25	two	two	NUM
american_scientific_journal-1841	35	26	independent	independent	ADJ
american_scientific_journal-1841	35	27	equations	equation	NOUN
american_scientific_journal-1841	35	28	with	with	ADP
american_scientific_journal-1841	35	29	four	four	NUM
american_scientific_journal-1841	35	30	unknown	unknown	ADJ
american_scientific_journal-1841	35	31	variables𝑅𝑅	variables𝑅𝑅	PROPN
american_scientific_journal-1841	35	32	,	,	PUNCT
american_scientific_journal-1841	35	33	𝜌𝜌	𝜌𝜌	ADP
american_scientific_journal-1841	35	34	,	,	PUNCT
american_scientific_journal-1841	35	35	𝛬𝛬	𝛬𝛬	PROPN
american_scientific_journal-1841	35	36	and	and	CCONJ
american_scientific_journal-1841	35	37	𝑝𝑝	𝑝𝑝	NOUN
american_scientific_journal-1841	35	38	,	,	PUNCT
american_scientific_journal-1841	35	39	in	in	ADP
american_scientific_journal-1841	35	40	the	the	DET
american_scientific_journal-1841	35	41	case	case	NOUN
american_scientific_journal-1841	35	42	of	of	ADP
american_scientific_journal-1841	35	43	the	the	DET
american_scientific_journal-1841	35	44	robertson	robertson	PROPN
american_scientific_journal-1841	35	45	-	-	PUNCT
american_scientific_journal-1841	35	46	walker	walker	PROPN
american_scientific_journal-1841	35	47	metrics	metric	NOUN
american_scientific_journal-1841	35	48	.	.	PUNCT
american_scientific_journal-1841	36	1	−	−	NOUN
american_scientific_journal-1841	36	2	3	3	NUM
american_scientific_journal-1841	36	3	�	�	PROPN
american_scientific_journal-1841	36	4	̇	̇	PROPN
american_scientific_journal-1841	36	5	�	�	PROPN
american_scientific_journal-1841	36	6	𝑅2	𝑅2	ADP
american_scientific_journal-1841	36	7	𝑅𝑅2𝑐𝑐2	𝑅𝑅2𝑐𝑐2	NOUN
american_scientific_journal-1841	36	8	−	−	NOUN
american_scientific_journal-1841	36	9	3𝑘𝑘	3𝑘𝑘	ADJ
american_scientific_journal-1841	36	10	𝑅𝑅2	𝑅𝑅2	NOUN
american_scientific_journal-1841	36	11	=	=	PUNCT
american_scientific_journal-1841	36	12	𝜅𝜅𝜌𝜌	𝜅𝜅𝜌𝜌	NOUN
american_scientific_journal-1841	36	13	−	−	PROPN
american_scientific_journal-1841	36	14	𝛬𝛬	𝛬𝛬	PROPN
american_scientific_journal-1841	36	15	(	(	PUNCT
american_scientific_journal-1841	36	16	3.1	3.1	NUM
american_scientific_journal-1841	36	17	)	)	PUNCT
american_scientific_journal-1841	36	18	𝑘𝑘	𝑘𝑘	PROPN
american_scientific_journal-1841	36	19	𝑅𝑅2	𝑅𝑅2	PROPN
american_scientific_journal-1841	36	20	+	+	SYM
american_scientific_journal-1841	36	21	�	�	PROPN
american_scientific_journal-1841	36	22	̇	̇	NOUN
american_scientific_journal-1841	36	23	�	�	NOUN
american_scientific_journal-1841	36	24	𝑅2	𝑅2	NOUN
american_scientific_journal-1841	36	25	+	+	ADJ
american_scientific_journal-1841	36	26	2𝑅𝑅	2𝑅𝑅	NUM
american_scientific_journal-1841	36	27	�	�	NOUN
american_scientific_journal-1841	36	28	̈	̈	SYM
american_scientific_journal-1841	36	29	�	�	PROPN
american_scientific_journal-1841	36	30	𝑅	𝑅	NOUN
american_scientific_journal-1841	36	31	𝑅𝑅2𝑐𝑐2	𝑅𝑅2𝑐𝑐2	PROPN
american_scientific_journal-1841	36	32	=	=	PROPN
american_scientific_journal-1841	36	33	𝜅𝜅𝜅𝜅	𝜅𝜅𝜅𝜅	NOUN
american_scientific_journal-1841	36	34	𝑐𝑐2	𝑐𝑐2	NOUN
american_scientific_journal-1841	37	1	+	+	X
american_scientific_journal-1841	37	2	𝛬𝛬	𝛬𝛬	PROPN
american_scientific_journal-1841	37	3	(	(	PUNCT
american_scientific_journal-1841	37	4	3.2	3.2	NUM
american_scientific_journal-1841	37	5	)	)	PUNCT
american_scientific_journal-1841	37	6	where	where	SCONJ
american_scientific_journal-1841	37	7	𝑘𝑘	𝑘𝑘	PROPN
american_scientific_journal-1841	37	8	=	=	PUNCT
american_scientific_journal-1841	37	9	−1,0,1	−1,0,1	NOUN
american_scientific_journal-1841	37	10	and	and	CCONJ
american_scientific_journal-1841	37	11	a	a	DET
american_scientific_journal-1841	37	12	dot	dot	NOUN
american_scientific_journal-1841	37	13	denotes	denote	NOUN
american_scientific_journal-1841	37	14	differentiation	differentiation	NOUN
american_scientific_journal-1841	37	15	with	with	ADP
american_scientific_journal-1841	37	16	respect	respect	NOUN
american_scientific_journal-1841	37	17	to	to	ADP
american_scientific_journal-1841	37	18	cosmic	cosmic	ADJ
american_scientific_journal-1841	37	19	time	time	NOUN
american_scientific_journal-1841	37	20	.	.	PUNCT
american_scientific_journal-1841	38	1	from	from	ADP
american_scientific_journal-1841	38	2	the	the	DET
american_scientific_journal-1841	38	3	above	above	ADJ
american_scientific_journal-1841	38	4	equations	equation	NOUN
american_scientific_journal-1841	38	5	we	we	PRON
american_scientific_journal-1841	38	6	find	find	VERB
american_scientific_journal-1841	38	7	that	that	SCONJ
american_scientific_journal-1841	38	8	the	the	DET
american_scientific_journal-1841	38	9	space	space	NOUN
american_scientific_journal-1841	38	10	time	time	NOUN
american_scientific_journal-1841	38	11	energy	energy	NOUN
american_scientific_journal-1841	38	12	tensor	tensor	NOUN
american_scientific_journal-1841	38	13	gives	give	VERB
american_scientific_journal-1841	38	14	rise	rise	NOUN
american_scientific_journal-1841	38	15	to	to	ADP
american_scientific_journal-1841	38	16	a	a	DET
american_scientific_journal-1841	38	17	component	component	NOUN
american_scientific_journal-1841	38	18	equivalent	equivalent	ADJ
american_scientific_journal-1841	38	19	to	to	ADP
american_scientific_journal-1841	38	20	that	that	PRON
american_scientific_journal-1841	38	21	of	of	ADP
american_scientific_journal-1841	38	22	ρ	ρ	PROPN
american_scientific_journal-1841	38	23	the	the	DET
american_scientific_journal-1841	38	24	density	density	NOUN
american_scientific_journal-1841	38	25	of	of	ADP
american_scientific_journal-1841	38	26	ordinary	ordinary	ADJ
american_scientific_journal-1841	38	27	matter	matter	NOUN
american_scientific_journal-1841	38	28	and	and	CCONJ
american_scientific_journal-1841	38	29	radiation	radiation	NOUN
american_scientific_journal-1841	38	30	as	as	ADP
american_scientific_journal-1841	38	31	in	in	ADP
american_scientific_journal-1841	38	32	the	the	DET
american_scientific_journal-1841	38	33	equation	equation	NOUN
american_scientific_journal-1841	38	34	(	(	PUNCT
american_scientific_journal-1841	38	35	3.1	3.1	NUM
american_scientific_journal-1841	38	36	)	)	PUNCT
american_scientific_journal-1841	38	37	,	,	PUNCT
american_scientific_journal-1841	38	38	and	and	CCONJ
american_scientific_journal-1841	38	39	to	to	ADP
american_scientific_journal-1841	38	40	a	a	DET
american_scientific_journal-1841	38	41	component	component	NOUN
american_scientific_journal-1841	38	42	equivalent	equivalent	ADJ
american_scientific_journal-1841	38	43	that	that	PRON
american_scientific_journal-1841	38	44	of	of	ADP
american_scientific_journal-1841	38	45	p	p	X
american_scientific_journal-1841	38	46	the	the	DET
american_scientific_journal-1841	38	47	pressure	pressure	NOUN
american_scientific_journal-1841	38	48	due	due	ADP
american_scientific_journal-1841	38	49	to	to	ADP
american_scientific_journal-1841	38	50	ordinary	ordinary	ADJ
american_scientific_journal-1841	38	51	matter	matter	NOUN
american_scientific_journal-1841	38	52	and	and	CCONJ
american_scientific_journal-1841	38	53	radiation	radiation	NOUN
american_scientific_journal-1841	38	54	as	as	ADP
american_scientific_journal-1841	38	55	in	in	ADP
american_scientific_journal-1841	38	56	the	the	DET
american_scientific_journal-1841	38	57	equation	equation	NOUN
american_scientific_journal-1841	38	58	(	(	PUNCT
american_scientific_journal-1841	38	59	3.2	3.2	NUM
american_scientific_journal-1841	38	60	)	)	PUNCT
american_scientific_journal-1841	38	61	.	.	PUNCT
american_scientific_journal-1841	39	1	since	since	SCONJ
american_scientific_journal-1841	39	2	𝜅𝜅	𝜅𝜅	NOUN
american_scientific_journal-1841	39	3	=	=	PUNCT
american_scientific_journal-1841	39	4	−8𝜋𝜋𝜋𝜋	−8𝜋𝜋𝜋𝜋	PROPN
american_scientific_journal-1841	39	5	𝑐𝑐2	𝑐𝑐2	NOUN
american_scientific_journal-1841	39	6	is	be	AUX
american_scientific_journal-1841	39	7	negative	negative	ADJ
american_scientific_journal-1841	39	8	,	,	PUNCT
american_scientific_journal-1841	39	9	it	it	PRON
american_scientific_journal-1841	39	10	is	be	AUX
american_scientific_journal-1841	39	11	clear	clear	ADJ
american_scientific_journal-1841	39	12	that	that	SCONJ
american_scientific_journal-1841	39	13	when	when	SCONJ
american_scientific_journal-1841	39	14	𝛬𝛬is	𝛬𝛬is	PROPN
american_scientific_journal-1841	39	15	positive	positive	ADJ
american_scientific_journal-1841	39	16	,	,	PUNCT
american_scientific_journal-1841	39	17	it	it	PRON
american_scientific_journal-1841	39	18	represents	represent	VERB
american_scientific_journal-1841	39	19	a	a	DET
american_scientific_journal-1841	39	20	positive	positive	ADJ
american_scientific_journal-1841	39	21	density	density	NOUN
american_scientific_journal-1841	39	22	of	of	ADP
american_scientific_journal-1841	39	23	space	space	NOUN
american_scientific_journal-1841	39	24	time	time	NOUN
american_scientific_journal-1841	39	25	energy	energy	NOUN
american_scientific_journal-1841	39	26	as	as	ADP
american_scientific_journal-1841	39	27	in	in	ADP
american_scientific_journal-1841	39	28	equation	equation	NOUN
american_scientific_journal-1841	39	29	(	(	PUNCT
american_scientific_journal-1841	39	30	3.1	3.1	NUM
american_scientific_journal-1841	39	31	)	)	PUNCT
american_scientific_journal-1841	39	32	,	,	PUNCT
american_scientific_journal-1841	39	33	and	and	CCONJ
american_scientific_journal-1841	39	34	a	a	DET
american_scientific_journal-1841	39	35	negative	negative	ADJ
american_scientific_journal-1841	39	36	pressure	pressure	NOUN
american_scientific_journal-1841	39	37	due	due	ADP
american_scientific_journal-1841	39	38	to	to	ADP
american_scientific_journal-1841	39	39	space	space	NOUN
american_scientific_journal-1841	39	40	time	time	NOUN
american_scientific_journal-1841	39	41	energy	energy	NOUN
american_scientific_journal-1841	39	42	as	as	ADP
american_scientific_journal-1841	39	43	in	in	ADP
american_scientific_journal-1841	39	44	equation	equation	NOUN
american_scientific_journal-1841	39	45	(	(	PUNCT
american_scientific_journal-1841	39	46	3.2	3.2	NUM
american_scientific_journal-1841	39	47	)	)	PUNCT
american_scientific_journal-1841	39	48	.	.	PUNCT
american_scientific_journal-1841	40	1	when	when	SCONJ
american_scientific_journal-1841	40	2	𝛬𝛬is	𝛬𝛬is	ADV
american_scientific_journal-1841	40	3	negative	negative	ADJ
american_scientific_journal-1841	40	4	,	,	PUNCT
american_scientific_journal-1841	40	5	it	it	PRON
american_scientific_journal-1841	40	6	represents	represent	VERB
american_scientific_journal-1841	40	7	a	a	DET
american_scientific_journal-1841	40	8	negative	negative	ADJ
american_scientific_journal-1841	40	9	density	density	NOUN
american_scientific_journal-1841	40	10	and	and	CCONJ
american_scientific_journal-1841	40	11	a	a	DET
american_scientific_journal-1841	40	12	positive	positive	ADJ
american_scientific_journal-1841	40	13	pressure	pressure	NOUN
american_scientific_journal-1841	40	14	.	.	PUNCT
american_scientific_journal-1841	41	1	we	we	PRON
american_scientific_journal-1841	41	2	define	define	VERB
american_scientific_journal-1841	41	3	𝛬𝛬′	𝛬𝛬′	NOUN
american_scientific_journal-1841	41	4	equal	equal	ADJ
american_scientific_journal-1841	41	5	to	to	ADP
american_scientific_journal-1841	41	6	𝛬𝛬𝑐𝑐	𝛬𝛬𝑐𝑐	PROPN
american_scientific_journal-1841	41	7	2	2	NUM
american_scientific_journal-1841	41	8	8𝜋𝜋𝜋𝜋	8𝜋𝜋𝜋𝜋	NUM
american_scientific_journal-1841	41	9	so	so	SCONJ
american_scientific_journal-1841	41	10	that	that	SCONJ
american_scientific_journal-1841	41	11	𝛬𝛬′has	𝛬𝛬′ha	VERB
american_scientific_journal-1841	41	12	same	same	ADJ
american_scientific_journal-1841	41	13	dimensions	dimension	NOUN
american_scientific_journal-1841	41	14	as	as	ADP
american_scientific_journal-1841	41	15	of	of	ADP
american_scientific_journal-1841	41	16	density𝜌𝜌[𝑀𝑀𝐿𝐿−3	density𝜌𝜌[𝑀𝑀𝐿𝐿−3	PROPN
american_scientific_journal-1841	41	17	]	]	PUNCT
american_scientific_journal-1841	41	18	and	and	CCONJ
american_scientific_journal-1841	41	19	could	could	AUX
american_scientific_journal-1841	41	20	be	be	AUX
american_scientific_journal-1841	41	21	compared	compare	VERB
american_scientific_journal-1841	41	22	with	with	ADP
american_scientific_journal-1841	41	23	𝜌𝜌.	𝜌𝜌.	NOUN
american_scientific_journal-1841	41	24	thus	thus	ADV
american_scientific_journal-1841	41	25	𝛬𝛬′[𝑔𝑔𝑐𝑐𝑐𝑐−3	𝛬𝛬′[𝑔𝑔𝑐𝑐𝑐𝑐−3	X
american_scientific_journal-1841	41	26	]	]	X
american_scientific_journal-1841	41	27	gives	give	VERB
american_scientific_journal-1841	41	28	the	the	DET
american_scientific_journal-1841	41	29	density	density	NOUN
american_scientific_journal-1841	41	30	of	of	ADP
american_scientific_journal-1841	41	31	energy	energy	NOUN
american_scientific_journal-1841	41	32	due	due	ADP
american_scientific_journal-1841	41	33	to	to	ADP
american_scientific_journal-1841	41	34	the	the	DET
american_scientific_journal-1841	41	35	space	space	NOUN
american_scientific_journal-1841	41	36	-	-	PUNCT
american_scientific_journal-1841	41	37	time	time	NOUN
american_scientific_journal-1841	41	38	,	,	PUNCT
american_scientific_journal-1841	41	39	and	and	CCONJ
american_scientific_journal-1841	41	40	𝜌𝜌[𝑔𝑔𝑐𝑐𝑐𝑐−3	𝜌𝜌[𝑔𝑔𝑐𝑐𝑐𝑐−3	PROPN
american_scientific_journal-1841	41	41	]	]	PUNCT
american_scientific_journal-1841	41	42	gives	give	VERB
american_scientific_journal-1841	41	43	the	the	DET
american_scientific_journal-1841	41	44	energy	energy	NOUN
american_scientific_journal-1841	41	45	density	density	NOUN
american_scientific_journal-1841	41	46	of	of	ADP
american_scientific_journal-1841	41	47	ordinary	ordinary	ADJ
american_scientific_journal-1841	41	48	matter	matter	NOUN
american_scientific_journal-1841	41	49	and	and	CCONJ
american_scientific_journal-1841	41	50	radiation.𝛬𝛬′	radiation.𝛬𝛬′	NOUN
american_scientific_journal-1841	41	51	resembles	resemble	VERB
american_scientific_journal-1841	41	52	the	the	DET
american_scientific_journal-1841	41	53	vacuum	vacuum	NOUN
american_scientific_journal-1841	41	54	energy	energy	NOUN
american_scientific_journal-1841	41	55	but	but	CCONJ
american_scientific_journal-1841	41	56	has	have	VERB
american_scientific_journal-1841	41	57	a	a	DET
american_scientific_journal-1841	41	58	different	different	ADJ
american_scientific_journal-1841	41	59	identification	identification	NOUN
american_scientific_journal-1841	41	60	as	as	ADP
american_scientific_journal-1841	41	61	the	the	DET
american_scientific_journal-1841	41	62	energy	energy	NOUN
american_scientific_journal-1841	41	63	density	density	NOUN
american_scientific_journal-1841	41	64	of	of	ADP
american_scientific_journal-1841	41	65	space	space	NOUN
american_scientific_journal-1841	41	66	time	time	NOUN
american_scientific_journal-1841	41	67	.	.	PUNCT
american_scientific_journal-1841	42	1	we	we	PRON
american_scientific_journal-1841	42	2	may	may	AUX
american_scientific_journal-1841	42	3	define	define	VERB
american_scientific_journal-1841	42	4	the	the	DET
american_scientific_journal-1841	42	5	vacuum	vacuum	NOUN
american_scientific_journal-1841	42	6	energy	energy	NOUN
american_scientific_journal-1841	42	7	as	as	ADP
american_scientific_journal-1841	42	8	the	the	DET
american_scientific_journal-1841	42	9	energy	energy	NOUN
american_scientific_journal-1841	42	10	of	of	ADP
american_scientific_journal-1841	42	11	spacetime	spacetime	NOUN
american_scientific_journal-1841	42	12	in	in	ADP
american_scientific_journal-1841	42	13	the	the	DET
american_scientific_journal-1841	42	14	absence	absence	NOUN
american_scientific_journal-1841	42	15	of	of	ADP
american_scientific_journal-1841	42	16	ordinary	ordinary	ADJ
american_scientific_journal-1841	42	17	matter	matter	NOUN
american_scientific_journal-1841	42	18	and	and	CCONJ
american_scientific_journal-1841	42	19	radiation	radiation	NOUN
american_scientific_journal-1841	42	20	.	.	PUNCT
american_scientific_journal-1841	43	1	from	from	ADP
american_scientific_journal-1841	43	2	equations	equation	NOUN
american_scientific_journal-1841	43	3	(	(	PUNCT
american_scientific_journal-1841	43	4	3.1	3.1	NUM
american_scientific_journal-1841	43	5	)	)	PUNCT
american_scientific_journal-1841	43	6	and	and	CCONJ
american_scientific_journal-1841	43	7	(	(	PUNCT
american_scientific_journal-1841	43	8	3.2	3.2	NUM
american_scientific_journal-1841	43	9	)	)	PUNCT
american_scientific_journal-1841	43	10	we	we	PRON
american_scientific_journal-1841	43	11	obtain	obtain	VERB
american_scientific_journal-1841	43	12	𝑑𝑑	𝑑𝑑	NOUN
american_scientific_journal-1841	43	13	𝑑𝑑𝑑𝑑	𝑑𝑑𝑑𝑑	NOUN
american_scientific_journal-1841	44	1	[	[	X
american_scientific_journal-1841	44	2	(	(	PUNCT
american_scientific_journal-1841	44	3	𝜌𝜌	𝜌𝜌	ADP
american_scientific_journal-1841	44	4	+	+	SYM
american_scientific_journal-1841	44	5	λ′)𝑅𝑅3	λ′)𝑅𝑅3	X
american_scientific_journal-1841	44	6	]	]	PUNCT
american_scientific_journal-1841	44	7	+	+	CCONJ
american_scientific_journal-1841	44	8	3	3	NUM
american_scientific_journal-1841	44	9	�	�	PROPN
american_scientific_journal-1841	44	10	𝜅𝜅	𝜅𝜅	ADP
american_scientific_journal-1841	44	11	𝑐𝑐2	𝑐𝑐2	PROPN
american_scientific_journal-1841	44	12	−	−	PROPN
american_scientific_journal-1841	44	13	λ′	λ′	NUM
american_scientific_journal-1841	44	14	�	�	PROPN
american_scientific_journal-1841	44	15	𝑅𝑅2	𝑅𝑅2	PROPN
american_scientific_journal-1841	44	16	�	�	PROPN
american_scientific_journal-1841	44	17	̇	̇	NOUN
american_scientific_journal-1841	44	18	�	�	PROPN
american_scientific_journal-1841	44	19	𝑅	𝑅	NOUN
american_scientific_journal-1841	44	20	=	=	PUNCT
american_scientific_journal-1841	44	21	0	0	NUM
american_scientific_journal-1841	44	22	american	american	PROPN
american_scientific_journal-1841	44	23	scientific	scientific	ADJ
american_scientific_journal-1841	44	24	research	research	NOUN
american_scientific_journal-1841	44	25	journal	journal	NOUN
american_scientific_journal-1841	44	26	for	for	ADP
american_scientific_journal-1841	44	27	engineering	engineering	NOUN
american_scientific_journal-1841	44	28	,	,	PUNCT
american_scientific_journal-1841	44	29	technology	technology	NOUN
american_scientific_journal-1841	44	30	,	,	PUNCT
american_scientific_journal-1841	44	31	and	and	CCONJ
american_scientific_journal-1841	44	32	sciences	science	NOUN
american_scientific_journal-1841	44	33	(	(	PUNCT
american_scientific_journal-1841	44	34	asrjets	asrjet	NOUN
american_scientific_journal-1841	44	35	)	)	PUNCT
american_scientific_journal-1841	44	36	(	(	PUNCT
american_scientific_journal-1841	44	37	2016	2016	NUM
american_scientific_journal-1841	44	38	)	)	PUNCT
american_scientific_journal-1841	44	39	volume	volume	NOUN
american_scientific_journal-1841	44	40	22	22	NUM
american_scientific_journal-1841	44	41	,	,	PUNCT
american_scientific_journal-1841	44	42	no	no	DET
american_scientific_journal-1841	44	43	1	1	NUM
american_scientific_journal-1841	44	44	,	,	PUNCT
american_scientific_journal-1841	44	45	pp	pp	ADV
american_scientific_journal-1841	44	46	184	184	NUM
american_scientific_journal-1841	44	47	-	-	SYM
american_scientific_journal-1841	44	48	194	194	NUM
american_scientific_journal-1841	44	49	187	187	NUM
american_scientific_journal-1841	44	50	(	(	PUNCT
american_scientific_journal-1841	44	51	3.3	3.3	NUM
american_scientific_journal-1841	44	52	)	)	PUNCT
american_scientific_journal-1841	44	53	when	when	SCONJ
american_scientific_journal-1841	44	54	𝛬𝛬′	𝛬𝛬′	NOUN
american_scientific_journal-1841	44	55	=	=	NOUN
american_scientific_journal-1841	44	56	0	0	NUM
american_scientific_journal-1841	44	57	,	,	PUNCT
american_scientific_journal-1841	44	58	the	the	DET
american_scientific_journal-1841	44	59	above	above	ADJ
american_scientific_journal-1841	44	60	equation	equation	NOUN
american_scientific_journal-1841	44	61	reduces	reduce	VERB
american_scientific_journal-1841	44	62	to	to	ADP
american_scientific_journal-1841	44	63	the	the	DET
american_scientific_journal-1841	44	64	usual	usual	ADJ
american_scientific_journal-1841	44	65	equation	equation	NOUN
american_scientific_journal-1841	44	66	of	of	ADP
american_scientific_journal-1841	44	67	“	"	PUNCT
american_scientific_journal-1841	44	68	conservation	conservation	NOUN
american_scientific_journal-1841	44	69	of	of	ADP
american_scientific_journal-1841	44	70	energy	energy	NOUN
american_scientific_journal-1841	44	71	”	"	PUNCT
american_scientific_journal-1841	44	72	(	(	PUNCT
american_scientific_journal-1841	44	73	see	see	VERB
american_scientific_journal-1841	44	74	for	for	ADP
american_scientific_journal-1841	44	75	example	example	NOUN
american_scientific_journal-1841	44	76	mc.vittie	mc.vittie	X
american_scientific_journal-1841	45	1	[	[	X
american_scientific_journal-1841	45	2	4	4	NUM
american_scientific_journal-1841	45	3	]	]	NUM
american_scientific_journal-1841	45	4	)	)	PUNCT
american_scientific_journal-1841	45	5	,	,	PUNCT
american_scientific_journal-1841	45	6	𝑑𝑑	𝑑𝑑	X
american_scientific_journal-1841	45	7	𝑑𝑑𝑑𝑑	𝑑𝑑𝑑𝑑	NOUN
american_scientific_journal-1841	45	8	(	(	PUNCT
american_scientific_journal-1841	45	9	𝜌𝜌𝑅𝑅3	𝜌𝜌𝑅𝑅3	NOUN
american_scientific_journal-1841	45	10	)	)	PUNCT
american_scientific_journal-1841	45	11	+	+	CCONJ
american_scientific_journal-1841	45	12	3	3	NUM
american_scientific_journal-1841	45	13	�	�	PROPN
american_scientific_journal-1841	45	14	𝜅𝜅	𝜅𝜅	ADP
american_scientific_journal-1841	45	15	𝑐𝑐2	𝑐𝑐2	PROPN
american_scientific_journal-1841	45	16	�	�	PROPN
american_scientific_journal-1841	45	17	𝑅𝑅2	𝑅𝑅2	PROPN
american_scientific_journal-1841	45	18	�	�	PROPN
american_scientific_journal-1841	45	19	̇	̇	NOUN
american_scientific_journal-1841	45	20	�	�	PROPN
american_scientific_journal-1841	45	21	𝑅	𝑅	NOUN
american_scientific_journal-1841	45	22	=	=	PROPN
american_scientific_journal-1841	45	23	0	0	PROPN
american_scientific_journal-1841	45	24	(	(	PUNCT
american_scientific_journal-1841	45	25	3.4	3.4	NUM
american_scientific_journal-1841	45	26	)	)	PUNCT
american_scientific_journal-1841	45	27	the	the	DET
american_scientific_journal-1841	45	28	equation	equation	NOUN
american_scientific_journal-1841	45	29	(	(	PUNCT
american_scientific_journal-1841	45	30	3.3	3.3	NUM
american_scientific_journal-1841	45	31	)	)	PUNCT
american_scientific_journal-1841	45	32	can	can	AUX
american_scientific_journal-1841	45	33	also	also	ADV
american_scientific_journal-1841	45	34	be	be	AUX
american_scientific_journal-1841	45	35	written	write	VERB
american_scientific_journal-1841	45	36	as	as	ADP
american_scientific_journal-1841	45	37	𝑑𝑑	𝑑𝑑	VERB
american_scientific_journal-1841	45	38	𝑑𝑑𝑑𝑑	𝑑𝑑𝑑𝑑	NOUN
american_scientific_journal-1841	46	1	[	[	X
american_scientific_journal-1841	46	2	𝜌𝜌𝑅𝑅3	𝜌𝜌𝑅𝑅3	X
american_scientific_journal-1841	46	3	]	]	X
american_scientific_journal-1841	46	4	+	+	CCONJ
american_scientific_journal-1841	46	5	3	3	NUM
american_scientific_journal-1841	46	6	�	�	PROPN
american_scientific_journal-1841	46	7	𝜅𝜅	𝜅𝜅	ADP
american_scientific_journal-1841	46	8	𝑐𝑐2	𝑐𝑐2	PROPN
american_scientific_journal-1841	46	9	�	�	PROPN
american_scientific_journal-1841	46	10	𝑅𝑅2	𝑅𝑅2	PROPN
american_scientific_journal-1841	46	11	�	�	PROPN
american_scientific_journal-1841	46	12	̇	̇	NOUN
american_scientific_journal-1841	46	13	�	�	PROPN
american_scientific_journal-1841	46	14	𝑅	𝑅	PROPN
american_scientific_journal-1841	46	15	+	+	PROPN
american_scientific_journal-1841	46	16	λ̇′𝑅𝑅3	λ̇′𝑅𝑅3	X
american_scientific_journal-1841	46	17	=	=	SYM
american_scientific_journal-1841	46	18	0	0	NUM
american_scientific_journal-1841	46	19	(	(	PUNCT
american_scientific_journal-1841	46	20	3.5	3.5	NUM
american_scientific_journal-1841	46	21	)	)	PUNCT
american_scientific_journal-1841	46	22	the	the	DET
american_scientific_journal-1841	46	23	equations	equation	NOUN
american_scientific_journal-1841	46	24	(	(	PUNCT
american_scientific_journal-1841	46	25	3.3	3.3	NUM
american_scientific_journal-1841	46	26	)	)	PUNCT
american_scientific_journal-1841	46	27	and	and	CCONJ
american_scientific_journal-1841	46	28	(	(	PUNCT
american_scientific_journal-1841	46	29	3.5	3.5	NUM
american_scientific_journal-1841	46	30	)	)	PUNCT
american_scientific_journal-1841	46	31	demonstrate	demonstrate	VERB
american_scientific_journal-1841	46	32	that	that	SCONJ
american_scientific_journal-1841	46	33	the	the	DET
american_scientific_journal-1841	46	34	energy	energy	NOUN
american_scientific_journal-1841	46	35	of	of	ADP
american_scientific_journal-1841	46	36	space	space	NOUN
american_scientific_journal-1841	46	37	time	time	NOUN
american_scientific_journal-1841	46	38	can	can	AUX
american_scientific_journal-1841	46	39	be	be	AUX
american_scientific_journal-1841	46	40	converted	convert	VERB
american_scientific_journal-1841	46	41	to	to	ADP
american_scientific_journal-1841	46	42	energy	energy	NOUN
american_scientific_journal-1841	46	43	of	of	ADP
american_scientific_journal-1841	46	44	ordinary	ordinary	ADJ
american_scientific_journal-1841	46	45	matter	matter	NOUN
american_scientific_journal-1841	46	46	and	and	CCONJ
american_scientific_journal-1841	46	47	radiation	radiation	NOUN
american_scientific_journal-1841	46	48	,	,	PUNCT
american_scientific_journal-1841	46	49	and	and	CCONJ
american_scientific_journal-1841	46	50	vice	vice	ADV
american_scientific_journal-1841	46	51	versa	versa	ADV
american_scientific_journal-1841	46	52	.	.	PUNCT
american_scientific_journal-1841	47	1	when	when	SCONJ
american_scientific_journal-1841	47	2	𝛬𝛬′	𝛬𝛬′	NOUN
american_scientific_journal-1841	47	3	is	be	AUX
american_scientific_journal-1841	47	4	a	a	DET
american_scientific_journal-1841	47	5	constant	constant	ADJ
american_scientific_journal-1841	47	6	,	,	PUNCT
american_scientific_journal-1841	47	7	the	the	DET
american_scientific_journal-1841	47	8	equation	equation	NOUN
american_scientific_journal-1841	47	9	(	(	PUNCT
american_scientific_journal-1841	47	10	3.5	3.5	NUM
american_scientific_journal-1841	47	11	)	)	PUNCT
american_scientific_journal-1841	47	12	reduces	reduce	VERB
american_scientific_journal-1841	47	13	to	to	ADP
american_scientific_journal-1841	47	14	the	the	DET
american_scientific_journal-1841	47	15	usual	usual	ADJ
american_scientific_journal-1841	47	16	equation	equation	NOUN
american_scientific_journal-1841	47	17	(	(	PUNCT
american_scientific_journal-1841	47	18	3.4	3.4	NUM
american_scientific_journal-1841	47	19	)	)	PUNCT
american_scientific_journal-1841	47	20	,	,	PUNCT
american_scientific_journal-1841	47	21	since	since	SCONJ
american_scientific_journal-1841	47	22	the	the	DET
american_scientific_journal-1841	47	23	space	space	NOUN
american_scientific_journal-1841	47	24	time	time	NOUN
american_scientific_journal-1841	47	25	energy	energy	NOUN
american_scientific_journal-1841	47	26	is	be	AUX
american_scientific_journal-1841	47	27	“	"	PUNCT
american_scientific_journal-1841	47	28	conserved	conserve	VERB
american_scientific_journal-1841	47	29	“	"	PUNCT
american_scientific_journal-1841	47	30	separately	separately	ADV
american_scientific_journal-1841	47	31	in	in	ADP
american_scientific_journal-1841	47	32	that	that	DET
american_scientific_journal-1841	47	33	case	case	NOUN
american_scientific_journal-1841	47	34	.	.	PUNCT
american_scientific_journal-1841	48	1	it	it	PRON
american_scientific_journal-1841	48	2	should	should	AUX
american_scientific_journal-1841	48	3	be	be	AUX
american_scientific_journal-1841	48	4	noted	note	VERB
american_scientific_journal-1841	48	5	that	that	SCONJ
american_scientific_journal-1841	48	6	𝛬𝛬′appears	𝛬𝛬′appear	NOUN
american_scientific_journal-1841	48	7	with	with	ADP
american_scientific_journal-1841	48	8	both	both	CCONJ
american_scientific_journal-1841	48	9	the	the	DET
american_scientific_journal-1841	48	10	density	density	NOUN
american_scientific_journal-1841	48	11	and	and	CCONJ
american_scientific_journal-1841	48	12	pressure	pressure	NOUN
american_scientific_journal-1841	48	13	of	of	ADP
american_scientific_journal-1841	48	14	ordinary	ordinary	ADJ
american_scientific_journal-1841	48	15	matter	matter	NOUN
american_scientific_journal-1841	48	16	and	and	CCONJ
american_scientific_journal-1841	48	17	energy	energy	NOUN
american_scientific_journal-1841	48	18	in	in	ADP
american_scientific_journal-1841	48	19	equation	equation	NOUN
american_scientific_journal-1841	48	20	(	(	PUNCT
american_scientific_journal-1841	48	21	3.3	3.3	NUM
american_scientific_journal-1841	48	22	)	)	PUNCT
american_scientific_journal-1841	48	23	as	as	SCONJ
american_scientific_journal-1841	48	24	it	it	PRON
american_scientific_journal-1841	48	25	should	should	AUX
american_scientific_journal-1841	48	26	be	be	AUX
american_scientific_journal-1841	48	27	.	.	PUNCT
american_scientific_journal-1841	49	1	𝛬𝛬′acts	𝛬𝛬′act	NOUN
american_scientific_journal-1841	49	2	as	as	ADP
american_scientific_journal-1841	49	3	a	a	DET
american_scientific_journal-1841	49	4	density	density	NOUN
american_scientific_journal-1841	49	5	and	and	CCONJ
american_scientific_journal-1841	49	6	as	as	ADV
american_scientific_journal-1841	49	7	well	well	ADV
american_scientific_journal-1841	49	8	as	as	ADP
american_scientific_journal-1841	49	9	pressure	pressure	NOUN
american_scientific_journal-1841	49	10	.	.	PUNCT
american_scientific_journal-1841	50	1	it	it	PRON
american_scientific_journal-1841	50	2	implies	imply	VERB
american_scientific_journal-1841	50	3	that	that	SCONJ
american_scientific_journal-1841	50	4	when	when	SCONJ
american_scientific_journal-1841	50	5	off	off	ADP
american_scientific_journal-1841	50	6	diagonal	diagonal	ADJ
american_scientific_journal-1841	50	7	terms	term	NOUN
american_scientific_journal-1841	50	8	are	be	AUX
american_scientific_journal-1841	50	9	zero	zero	NUM
american_scientific_journal-1841	50	10	,	,	PUNCT
american_scientific_journal-1841	50	11	the	the	DET
american_scientific_journal-1841	50	12	trace	trace	NOUN
american_scientific_journal-1841	50	13	of	of	ADP
american_scientific_journal-1841	50	14	𝛬𝛬𝑔𝑔𝜇𝜇𝜇𝜇gives	𝛬𝛬𝑔𝑔𝜇𝜇𝜇𝜇gives	PROPN
american_scientific_journal-1841	50	15	rise	rise	VERB
american_scientific_journal-1841	50	16	to−2𝛬𝛬	to−2𝛬𝛬	ADP
american_scientific_journal-1841	50	17	,	,	PUNCT
american_scientific_journal-1841	50	18	due	due	ADP
american_scientific_journal-1841	50	19	to	to	ADP
american_scientific_journal-1841	50	20	negative	negative	ADJ
american_scientific_journal-1841	50	21	pressure	pressure	NOUN
american_scientific_journal-1841	50	22	arising	arise	VERB
american_scientific_journal-1841	50	23	out	out	ADP
american_scientific_journal-1841	50	24	of	of	ADP
american_scientific_journal-1841	50	25	𝛬𝛬	𝛬𝛬	PROPN
american_scientific_journal-1841	50	26	and	and	CCONJ
american_scientific_journal-1841	50	27	this	this	PRON
american_scientific_journal-1841	50	28	makes	make	VERB
american_scientific_journal-1841	50	29	the	the	DET
american_scientific_journal-1841	50	30	space	space	NOUN
american_scientific_journal-1841	50	31	–	–	PUNCT
american_scientific_journal-1841	50	32	time	time	NOUN
american_scientific_journal-1841	50	33	expands	expand	VERB
american_scientific_journal-1841	50	34	,	,	PUNCT
american_scientific_journal-1841	51	1	when	when	SCONJ
american_scientific_journal-1841	51	2	𝛬𝛬is	𝛬𝛬is	ADV
american_scientific_journal-1841	51	3	positive	positive	ADJ
american_scientific_journal-1841	51	4	.	.	PUNCT
american_scientific_journal-1841	52	1	4	4	X
american_scientific_journal-1841	52	2	.	.	X
american_scientific_journal-1841	52	3	de	de	PROPN
american_scientific_journal-1841	52	4	sitter	sitter	NOUN
american_scientific_journal-1841	52	5	space	space	NOUN
american_scientific_journal-1841	52	6	we	we	PRON
american_scientific_journal-1841	52	7	illustrate	illustrate	VERB
american_scientific_journal-1841	52	8	some	some	PRON
american_scientific_journal-1841	52	9	of	of	ADP
american_scientific_journal-1841	52	10	these	these	DET
american_scientific_journal-1841	52	11	ideas	idea	NOUN
american_scientific_journal-1841	52	12	in	in	ADP
american_scientific_journal-1841	52	13	the	the	DET
american_scientific_journal-1841	52	14	case	case	NOUN
american_scientific_journal-1841	52	15	when	when	SCONJ
american_scientific_journal-1841	52	16	𝛬𝛬(λ′	𝛬𝛬(λ′	PROPN
american_scientific_journal-1841	52	17	)	)	PUNCT
american_scientific_journal-1841	52	18	is	be	AUX
american_scientific_journal-1841	52	19	a	a	DET
american_scientific_journal-1841	52	20	constant	constant	ADJ
american_scientific_journal-1841	52	21	with	with	ADP
american_scientific_journal-1841	52	22	the	the	DET
american_scientific_journal-1841	52	23	well	well	ADV
american_scientific_journal-1841	52	24	known	know	VERB
american_scientific_journal-1841	52	25	de	de	ADJ
american_scientific_journal-1841	52	26	-	-	ADJ
american_scientific_journal-1841	52	27	sitter	sitter	ADJ
american_scientific_journal-1841	52	28	universe	universe	NOUN
american_scientific_journal-1841	52	29	,	,	PUNCT
american_scientific_journal-1841	52	30	where	where	SCONJ
american_scientific_journal-1841	52	31	the	the	DET
american_scientific_journal-1841	52	32	energy	energy	NOUN
american_scientific_journal-1841	52	33	momentum	momentum	NOUN
american_scientific_journal-1841	52	34	tensor	tensor	NOUN
american_scientific_journal-1841	52	35	of	of	ADP
american_scientific_journal-1841	52	36	matter	matter	NOUN
american_scientific_journal-1841	52	37	and	and	CCONJ
american_scientific_journal-1841	52	38	radiation	radiation	NOUN
american_scientific_journal-1841	52	39	is	be	AUX
american_scientific_journal-1841	52	40	null	null	ADJ
american_scientific_journal-1841	52	41	.	.	PUNCT
american_scientific_journal-1841	53	1	eliminating	eliminate	VERB
american_scientific_journal-1841	53	2	k	k	PROPN
american_scientific_journal-1841	53	3	in	in	ADP
american_scientific_journal-1841	53	4	equations	equation	NOUN
american_scientific_journal-1841	53	5	(	(	PUNCT
american_scientific_journal-1841	53	6	3.1	3.1	NUM
american_scientific_journal-1841	53	7	)	)	PUNCT
american_scientific_journal-1841	53	8	and	and	CCONJ
american_scientific_journal-1841	53	9	(	(	PUNCT
american_scientific_journal-1841	53	10	3.2	3.2	NUM
american_scientific_journal-1841	53	11	)	)	PUNCT
american_scientific_journal-1841	53	12	,	,	PUNCT
american_scientific_journal-1841	53	13	we	we	PRON
american_scientific_journal-1841	53	14	have	have	VERB
american_scientific_journal-1841	53	15	,	,	PUNCT
american_scientific_journal-1841	53	16	in	in	ADP
american_scientific_journal-1841	53	17	the	the	DET
american_scientific_journal-1841	53	18	case	case	NOUN
american_scientific_journal-1841	53	19	of	of	ADP
american_scientific_journal-1841	53	20	a	a	DET
american_scientific_journal-1841	53	21	matter	matter	NOUN
american_scientific_journal-1841	53	22	-	-	PUNCT
american_scientific_journal-1841	53	23	radiation	radiation	NOUN
american_scientific_journal-1841	53	24	free	free	ADJ
american_scientific_journal-1841	53	25	universe	universe	NOUN
american_scientific_journal-1841	53	26	3r̈	3r̈	NUM
american_scientific_journal-1841	53	27	−	−	NOUN
american_scientific_journal-1841	54	1	λc2r	λc2r	NOUN
american_scientific_journal-1841	54	2	=	=	SYM
american_scientific_journal-1841	54	3	0	0	NUM
american_scientific_journal-1841	54	4	(	(	PUNCT
american_scientific_journal-1841	54	5	4.1	4.1	NUM
american_scientific_journal-1841	54	6	)	)	PUNCT
american_scientific_journal-1841	54	7	where	where	SCONJ
american_scientific_journal-1841	54	8	𝛬𝛬	𝛬𝛬	PROPN
american_scientific_journal-1841	54	9	is	be	AUX
american_scientific_journal-1841	54	10	a	a	DET
american_scientific_journal-1841	54	11	constant	constant	ADJ
american_scientific_journal-1841	54	12	.	.	PUNCT
american_scientific_journal-1841	55	1	if	if	SCONJ
american_scientific_journal-1841	55	2	𝛬𝛬	𝛬𝛬	PROPN
american_scientific_journal-1841	55	3	is	be	AUX
american_scientific_journal-1841	55	4	a	a	DET
american_scientific_journal-1841	55	5	positive	positive	ADJ
american_scientific_journal-1841	55	6	constant	constant	ADJ
american_scientific_journal-1841	55	7	,	,	PUNCT
american_scientific_journal-1841	55	8	we	we	PRON
american_scientific_journal-1841	55	9	obtain	obtain	VERB
american_scientific_journal-1841	55	10	the	the	DET
american_scientific_journal-1841	55	11	de	de	ADJ
american_scientific_journal-1841	55	12	-	-	ADJ
american_scientific_journal-1841	55	13	sitter	sitter	ADJ
american_scientific_journal-1841	55	14	universe	universe	NOUN
american_scientific_journal-1841	55	15	that	that	PRON
american_scientific_journal-1841	55	16	expands	expand	VERB
american_scientific_journal-1841	55	17	forever	forever	ADV
american_scientific_journal-1841	55	18	.	.	PUNCT
american_scientific_journal-1841	56	1	if	if	SCONJ
american_scientific_journal-1841	56	2	𝛬𝛬	𝛬𝛬	PROPN
american_scientific_journal-1841	56	3	is	be	AUX
american_scientific_journal-1841	56	4	a	a	DET
american_scientific_journal-1841	56	5	negative	negative	ADJ
american_scientific_journal-1841	56	6	constant	constant	ADJ
american_scientific_journal-1841	56	7	,	,	PUNCT
american_scientific_journal-1841	56	8	the	the	DET
american_scientific_journal-1841	56	9	equation	equation	NOUN
american_scientific_journal-1841	56	10	is	be	AUX
american_scientific_journal-1841	56	11	similar	similar	ADJ
american_scientific_journal-1841	56	12	to	to	ADP
american_scientific_journal-1841	56	13	that	that	PRON
american_scientific_journal-1841	56	14	of	of	ADP
american_scientific_journal-1841	56	15	simple	simple	ADJ
american_scientific_journal-1841	56	16	harmonic	harmonic	ADJ
american_scientific_journal-1841	56	17	motion	motion	NOUN
american_scientific_journal-1841	56	18	.	.	PUNCT
american_scientific_journal-1841	57	1	we	we	PRON
american_scientific_journal-1841	57	2	have	have	VERB
american_scientific_journal-1841	57	3	solutions	solution	NOUN
american_scientific_journal-1841	57	4	where	where	SCONJ
american_scientific_journal-1841	57	5	r	r	NOUN
american_scientific_journal-1841	57	6	takes	take	VERB
american_scientific_journal-1841	57	7	the	the	DET
american_scientific_journal-1841	57	8	form𝑅𝑅	form𝑅𝑅	PROPN
american_scientific_journal-1841	57	9	=	=	SYM
american_scientific_journal-1841	57	10	𝐴𝐴	𝐴𝐴	PROPN
american_scientific_journal-1841	57	11	cos(𝜔𝜔𝜔𝜔	cos(𝜔𝜔𝜔𝜔	VERB
american_scientific_journal-1841	57	12	+	+	CCONJ
american_scientific_journal-1841	57	13	𝛼𝛼)and	𝛼𝛼)and	NOUN
american_scientific_journal-1841	57	14	we	we	PRON
american_scientific_journal-1841	57	15	take	take	VERB
american_scientific_journal-1841	57	16	the	the	DET
american_scientific_journal-1841	57	17	modulus	modulus	NOUN
american_scientific_journal-1841	57	18	of𝑅𝑅as	of𝑅𝑅as	PROPN
american_scientific_journal-1841	57	19	it	it	PRON
american_scientific_journal-1841	57	20	has	have	VERB
american_scientific_journal-1841	57	21	to	to	PART
american_scientific_journal-1841	57	22	be	be	AUX
american_scientific_journal-1841	57	23	positive	positive	ADJ
american_scientific_journal-1841	57	24	.	.	PUNCT
american_scientific_journal-1841	58	1	thus	thus	ADV
american_scientific_journal-1841	58	2	𝑅𝑅would	𝑅𝑅would	AUX
american_scientific_journal-1841	58	3	change	change	VERB
american_scientific_journal-1841	58	4	from	from	ADP
american_scientific_journal-1841	58	5	zero	zero	NUM
american_scientific_journal-1841	58	6	to	to	ADP
american_scientific_journal-1841	58	7	zero	zero	NUM
american_scientific_journal-1841	58	8	for	for	ADP
american_scientific_journal-1841	58	9	suitable	suitable	ADJ
american_scientific_journal-1841	58	10	values	value	NOUN
american_scientific_journal-1841	58	11	of	of	ADP
american_scientific_journal-1841	58	12	cosmic	cosmic	PROPN
american_scientific_journal-1841	58	13	time𝜔𝜔,and	time𝜔𝜔,and	PROPN
american_scientific_journal-1841	58	14	then	then	ADV
american_scientific_journal-1841	58	15	would	would	AUX
american_scientific_journal-1841	58	16	start	start	VERB
american_scientific_journal-1841	58	17	a	a	DET
american_scientific_journal-1841	58	18	different	different	ADJ
american_scientific_journal-1841	58	19	cycle	cycle	NOUN
american_scientific_journal-1841	58	20	.	.	PUNCT
american_scientific_journal-1841	59	1	this	this	PRON
american_scientific_journal-1841	59	2	corresponds	correspond	VERB
american_scientific_journal-1841	59	3	to	to	ADP
american_scientific_journal-1841	59	4	a	a	DET
american_scientific_journal-1841	59	5	cyclic	cyclic	ADJ
american_scientific_journal-1841	59	6	universe	universe	NOUN
american_scientific_journal-1841	59	7	.	.	PUNCT
american_scientific_journal-1841	60	1	if	if	SCONJ
american_scientific_journal-1841	60	2	𝛬𝛬	𝛬𝛬	PROPN
american_scientific_journal-1841	60	3	is	be	AUX
american_scientific_journal-1841	60	4	zero	zero	NUM
american_scientific_journal-1841	60	5	,	,	PUNCT
american_scientific_journal-1841	60	6	𝑅𝑅increases	𝑅𝑅increase	NOUN
american_scientific_journal-1841	60	7	linearly	linearly	ADV
american_scientific_journal-1841	60	8	with	with	ADP
american_scientific_journal-1841	60	9	time	time	NOUN
american_scientific_journal-1841	60	10	.	.	PUNCT
american_scientific_journal-1841	61	1	in	in	ADP
american_scientific_journal-1841	61	2	all	all	DET
american_scientific_journal-1841	61	3	the	the	DET
american_scientific_journal-1841	61	4	three	three	NUM
american_scientific_journal-1841	61	5	cases	case	NOUN
american_scientific_journal-1841	61	6	the	the	DET
american_scientific_journal-1841	61	7	energy	energy	NOUN
american_scientific_journal-1841	61	8	density	density	NOUN
american_scientific_journal-1841	61	9	of	of	ADP
american_scientific_journal-1841	61	10	space	space	NOUN
american_scientific_journal-1841	61	11	-	-	PUNCT
american_scientific_journal-1841	61	12	time	time	NOUN
american_scientific_journal-1841	61	13	remains	remain	VERB
american_scientific_journal-1841	61	14	constant	constant	ADJ
american_scientific_journal-1841	61	15	and	and	CCONJ
american_scientific_journal-1841	61	16	is	be	AUX
american_scientific_journal-1841	61	17	“	"	PUNCT
american_scientific_journal-1841	61	18	conserved	conserve	VERB
american_scientific_journal-1841	61	19	”	"	PUNCT
american_scientific_journal-1841	61	20	on	on	ADP
american_scientific_journal-1841	61	21	its	its	PRON
american_scientific_journal-1841	61	22	own	own	ADJ
american_scientific_journal-1841	61	23	as	as	SCONJ
american_scientific_journal-1841	61	24	there	there	PRON
american_scientific_journal-1841	61	25	is	be	VERB
american_scientific_journal-1841	61	26	american	american	ADJ
american_scientific_journal-1841	61	27	scientific	scientific	ADJ
american_scientific_journal-1841	61	28	research	research	NOUN
american_scientific_journal-1841	61	29	journal	journal	NOUN
american_scientific_journal-1841	61	30	for	for	ADP
american_scientific_journal-1841	61	31	engineering	engineering	NOUN
american_scientific_journal-1841	61	32	,	,	PUNCT
american_scientific_journal-1841	61	33	technology	technology	NOUN
american_scientific_journal-1841	61	34	,	,	PUNCT
american_scientific_journal-1841	61	35	and	and	CCONJ
american_scientific_journal-1841	61	36	sciences	science	NOUN
american_scientific_journal-1841	61	37	(	(	PUNCT
american_scientific_journal-1841	61	38	asrjets	asrjet	NOUN
american_scientific_journal-1841	61	39	)	)	PUNCT
american_scientific_journal-1841	61	40	(	(	PUNCT
american_scientific_journal-1841	61	41	2016	2016	NUM
american_scientific_journal-1841	61	42	)	)	PUNCT
american_scientific_journal-1841	61	43	volume	volume	NOUN
american_scientific_journal-1841	61	44	22	22	NUM
american_scientific_journal-1841	61	45	,	,	PUNCT
american_scientific_journal-1841	61	46	no	no	DET
american_scientific_journal-1841	61	47	1	1	NUM
american_scientific_journal-1841	61	48	,	,	PUNCT
american_scientific_journal-1841	61	49	pp	pp	ADV
american_scientific_journal-1841	61	50	184	184	NUM
american_scientific_journal-1841	61	51	-	-	SYM
american_scientific_journal-1841	61	52	194	194	NUM
american_scientific_journal-1841	61	53	188	188	NUM
american_scientific_journal-1841	61	54	no	no	DET
american_scientific_journal-1841	61	55	ordinary	ordinary	ADJ
american_scientific_journal-1841	61	56	matter	matter	NOUN
american_scientific_journal-1841	61	57	and	and	CCONJ
american_scientific_journal-1841	61	58	radiation	radiation	NOUN
american_scientific_journal-1841	61	59	.	.	PUNCT
american_scientific_journal-1841	62	1	in	in	ADP
american_scientific_journal-1841	62	2	this	this	DET
american_scientific_journal-1841	62	3	case	case	NOUN
american_scientific_journal-1841	62	4	the	the	DET
american_scientific_journal-1841	62	5	energy	energy	NOUN
american_scientific_journal-1841	62	6	of	of	ADP
american_scientific_journal-1841	62	7	the	the	DET
american_scientific_journal-1841	62	8	space	space	NOUN
american_scientific_journal-1841	62	9	-	-	PUNCT
american_scientific_journal-1841	62	10	time	time	NOUN
american_scientific_journal-1841	62	11	could	could	AUX
american_scientific_journal-1841	62	12	be	be	AUX
american_scientific_journal-1841	62	13	identified	identify	VERB
american_scientific_journal-1841	62	14	as	as	ADP
american_scientific_journal-1841	62	15	the	the	DET
american_scientific_journal-1841	62	16	vacuum	vacuum	NOUN
american_scientific_journal-1841	62	17	energy	energy	NOUN
american_scientific_journal-1841	62	18	.	.	PUNCT
american_scientific_journal-1841	63	1	now	now	ADV
american_scientific_journal-1841	63	2	consider	consider	VERB
american_scientific_journal-1841	63	3	the	the	DET
american_scientific_journal-1841	63	4	de	de	PROPN
american_scientific_journal-1841	63	5	sitter	sitter	NOUN
american_scientific_journal-1841	63	6	space	space	NOUN
american_scientific_journal-1841	63	7	-	-	PUNCT
american_scientific_journal-1841	63	8	time	time	NOUN
american_scientific_journal-1841	63	9	written	write	VERB
american_scientific_journal-1841	63	10	in	in	ADP
american_scientific_journal-1841	63	11	the	the	DET
american_scientific_journal-1841	63	12	form	form	NOUN
american_scientific_journal-1841	63	13	𝑑𝑑𝑠𝑠2	𝑑𝑑𝑠𝑠2	PUNCT
american_scientific_journal-1841	64	1	=	=	SYM
american_scientific_journal-1841	64	2	(	(	PUNCT
american_scientific_journal-1841	64	3	1	1	NUM
american_scientific_journal-1841	64	4	−	−	NUM
american_scientific_journal-1841	64	5	1	1	NUM
american_scientific_journal-1841	64	6	3	3	NUM
american_scientific_journal-1841	64	7	𝛬𝛬𝑟𝑟2	𝛬𝛬𝑟𝑟2	NOUN
american_scientific_journal-1841	64	8	)	)	PUNCT
american_scientific_journal-1841	64	9	𝑐𝑐2𝑑𝑑𝜔𝜔2	𝑐𝑐2𝑑𝑑𝜔𝜔2	NOUN
american_scientific_journal-1841	64	10	−	−	NOUN
american_scientific_journal-1841	64	11	𝑑𝑑𝑟𝑟2	𝑑𝑑𝑟𝑟2	NOUN
american_scientific_journal-1841	64	12	(	(	PUNCT
american_scientific_journal-1841	64	13	1	1	NUM
american_scientific_journal-1841	64	14	−	−	NUM
american_scientific_journal-1841	64	15	1	1	NUM
american_scientific_journal-1841	64	16	3𝛬𝛬𝑟𝑟	3𝛬𝛬𝑟𝑟	NUM
american_scientific_journal-1841	64	17	2	2	NUM
american_scientific_journal-1841	64	18	)	)	PUNCT
american_scientific_journal-1841	64	19	−	−	NOUN
american_scientific_journal-1841	65	1	𝑟𝑟2	𝑟𝑟2	NOUN
american_scientific_journal-1841	65	2	(	(	PUNCT
american_scientific_journal-1841	65	3	𝑑𝑑θ2	𝑑𝑑θ2	NOUN
american_scientific_journal-1841	65	4	+	+	CCONJ
american_scientific_journal-1841	65	5	𝑠𝑠𝑠𝑠𝑠𝑠2θ𝑑𝑑φ2	𝑠𝑠𝑠𝑠𝑠𝑠2θ𝑑𝑑φ2	NOUN
american_scientific_journal-1841	65	6	)	)	PUNCT
american_scientific_journal-1841	66	1	jayakody[5	jayakody[5	X
american_scientific_journal-1841	66	2	]	]	X
american_scientific_journal-1841	66	3	has	have	AUX
american_scientific_journal-1841	66	4	shown	show	VERB
american_scientific_journal-1841	66	5	that	that	SCONJ
american_scientific_journal-1841	66	6	the	the	DET
american_scientific_journal-1841	66	7	angular	angular	ADJ
american_scientific_journal-1841	66	8	momentum	momentum	NOUN
american_scientific_journal-1841	66	9	ℎper	ℎper	NOUN
american_scientific_journal-1841	66	10	unit	unit	NOUN
american_scientific_journal-1841	66	11	mass	mass	NOUN
american_scientific_journal-1841	66	12	of	of	ADP
american_scientific_journal-1841	66	13	a	a	DET
american_scientific_journal-1841	66	14	particle	particle	NOUN
american_scientific_journal-1841	66	15	that	that	PRON
american_scientific_journal-1841	66	16	describes	describe	VERB
american_scientific_journal-1841	66	17	a	a	DET
american_scientific_journal-1841	66	18	circle	circle	NOUN
american_scientific_journal-1841	66	19	of	of	ADP
american_scientific_journal-1841	66	20	coordinate	coordinate	NOUN
american_scientific_journal-1841	66	21	radius	radius	NOUN
american_scientific_journal-1841	66	22	a	a	PRON
american_scientific_journal-1841	66	23	can	can	AUX
american_scientific_journal-1841	66	24	be	be	AUX
american_scientific_journal-1841	66	25	written	write	VERB
american_scientific_journal-1841	66	26	as	as	ADP
american_scientific_journal-1841	66	27	ℎ2	ℎ2	NOUN
american_scientific_journal-1841	66	28	=	=	SYM
american_scientific_journal-1841	66	29	−𝛬𝛬𝑎𝑎	−𝛬𝛬𝑎𝑎	PROPN
american_scientific_journal-1841	66	30	4	4	NUM
american_scientific_journal-1841	66	31	3	3	NUM
american_scientific_journal-1841	66	32	𝑐𝑐	𝑐𝑐	NOUN
american_scientific_journal-1841	66	33	,	,	PUNCT
american_scientific_journal-1841	66	34	implying	imply	VERB
american_scientific_journal-1841	66	35	that	that	SCONJ
american_scientific_journal-1841	66	36	no	no	DET
american_scientific_journal-1841	66	37	circular	circular	ADJ
american_scientific_journal-1841	66	38	motion	motion	NOUN
american_scientific_journal-1841	66	39	is	be	AUX
american_scientific_journal-1841	66	40	possible	possible	ADJ
american_scientific_journal-1841	66	41	if	if	SCONJ
american_scientific_journal-1841	66	42	𝛬𝛬is	𝛬𝛬is	PROPN
american_scientific_journal-1841	66	43	non	non	ADJ
american_scientific_journal-1841	66	44	negative	negative	ADJ
american_scientific_journal-1841	66	45	,	,	PUNCT
american_scientific_journal-1841	66	46	as	as	SCONJ
american_scientific_journal-1841	66	47	could	could	AUX
american_scientific_journal-1841	66	48	be	be	AUX
american_scientific_journal-1841	66	49	expected	expect	VERB
american_scientific_journal-1841	66	50	since	since	SCONJ
american_scientific_journal-1841	66	51	positive	positive	ADJ
american_scientific_journal-1841	66	52	𝛬𝛬gives	𝛬𝛬gives	PROPN
american_scientific_journal-1841	66	53	rise	rise	VERB
american_scientific_journal-1841	66	54	to	to	ADP
american_scientific_journal-1841	66	55	a	a	DET
american_scientific_journal-1841	66	56	repulsion	repulsion	NOUN
american_scientific_journal-1841	66	57	.	.	PUNCT
american_scientific_journal-1841	67	1	5	5	X
american_scientific_journal-1841	67	2	.	.	X
american_scientific_journal-1841	67	3	𝜦𝜦	𝜦𝜦	NOUN
american_scientific_journal-1841	67	4	considered	consider	VERB
american_scientific_journal-1841	67	5	as	as	ADP
american_scientific_journal-1841	67	6	a	a	DET
american_scientific_journal-1841	67	7	variable	variable	NOUN
american_scientific_journal-1841	67	8	in	in	ADP
american_scientific_journal-1841	67	9	this	this	DET
american_scientific_journal-1841	67	10	case	case	NOUN
american_scientific_journal-1841	67	11	the	the	DET
american_scientific_journal-1841	67	12	energy	energy	NOUN
american_scientific_journal-1841	67	13	of	of	ADP
american_scientific_journal-1841	67	14	space	space	NOUN
american_scientific_journal-1841	67	15	time	time	NOUN
american_scientific_journal-1841	67	16	does	do	AUX
american_scientific_journal-1841	67	17	not	not	PART
american_scientific_journal-1841	67	18	remain	remain	VERB
american_scientific_journal-1841	67	19	a	a	DET
american_scientific_journal-1841	67	20	constant	constant	ADJ
american_scientific_journal-1841	67	21	and	and	CCONJ
american_scientific_journal-1841	67	22	can	can	AUX
american_scientific_journal-1841	67	23	be	be	AUX
american_scientific_journal-1841	67	24	converted	convert	VERB
american_scientific_journal-1841	67	25	to	to	ADP
american_scientific_journal-1841	67	26	other	other	ADJ
american_scientific_journal-1841	67	27	forms	form	NOUN
american_scientific_journal-1841	67	28	of	of	ADP
american_scientific_journal-1841	67	29	energy	energy	NOUN
american_scientific_journal-1841	67	30	represented	represent	VERB
american_scientific_journal-1841	67	31	by	by	ADP
american_scientific_journal-1841	67	32	the	the	DET
american_scientific_journal-1841	67	33	energy	energy	NOUN
american_scientific_journal-1841	67	34	momentum	momentum	NOUN
american_scientific_journal-1841	67	35	tensor	tensor	NOUN
american_scientific_journal-1841	67	36	for	for	ADP
american_scientific_journal-1841	67	37	ordinary	ordinary	ADJ
american_scientific_journal-1841	67	38	matter	matter	NOUN
american_scientific_journal-1841	67	39	and	and	CCONJ
american_scientific_journal-1841	67	40	radiation	radiation	NOUN
american_scientific_journal-1841	67	41	.	.	PUNCT
american_scientific_journal-1841	68	1	in	in	ADP
american_scientific_journal-1841	68	2	order	order	NOUN
american_scientific_journal-1841	68	3	to	to	PART
american_scientific_journal-1841	68	4	illustrate	illustrate	VERB
american_scientific_journal-1841	68	5	this	this	PRON
american_scientific_journal-1841	68	6	and	and	CCONJ
american_scientific_journal-1841	68	7	also	also	ADV
american_scientific_journal-1841	68	8	to	to	PART
american_scientific_journal-1841	68	9	illustrate	illustrate	VERB
american_scientific_journal-1841	68	10	that	that	SCONJ
american_scientific_journal-1841	68	11	the	the	DET
american_scientific_journal-1841	68	12	space	space	NOUN
american_scientific_journal-1841	68	13	time	time	NOUN
american_scientific_journal-1841	68	14	energy	energy	NOUN
american_scientific_journal-1841	68	15	could	could	AUX
american_scientific_journal-1841	68	16	be	be	AUX
american_scientific_journal-1841	68	17	interpreted	interpret	VERB
american_scientific_journal-1841	68	18	as	as	ADP
american_scientific_journal-1841	68	19	dark	dark	ADJ
american_scientific_journal-1841	68	20	energy	energy	NOUN
american_scientific_journal-1841	68	21	that	that	PRON
american_scientific_journal-1841	68	22	accelerates	accelerate	VERB
american_scientific_journal-1841	68	23	the	the	DET
american_scientific_journal-1841	68	24	universe	universe	NOUN
american_scientific_journal-1841	68	25	as	as	SCONJ
american_scientific_journal-1841	68	26	observed	observe	VERB
american_scientific_journal-1841	68	27	by	by	ADP
american_scientific_journal-1841	68	28	perlmutter	perlmutter	NOUN
american_scientific_journal-1841	68	29	and	and	CCONJ
american_scientific_journal-1841	68	30	his	his	PRON
american_scientific_journal-1841	68	31	colleagues	colleague	NOUN
american_scientific_journal-1841	68	32	[	[	X
american_scientific_journal-1841	68	33	6,7	6,7	NUM
american_scientific_journal-1841	68	34	]	]	PUNCT
american_scientific_journal-1841	68	35	and	and	CCONJ
american_scientific_journal-1841	68	36	reiss	reiss	NOUN
american_scientific_journal-1841	68	37	and	and	CCONJ
american_scientific_journal-1841	68	38	his	his	PRON
american_scientific_journal-1841	68	39	colleagues	colleague	NOUN
american_scientific_journal-1841	68	40	[	[	X
american_scientific_journal-1841	68	41	8	8	NUM
american_scientific_journal-1841	68	42	]	]	PUNCT
american_scientific_journal-1841	68	43	we	we	PRON
american_scientific_journal-1841	68	44	proceed	proceed	VERB
american_scientific_journal-1841	68	45	as	as	SCONJ
american_scientific_journal-1841	68	46	follows	follow	VERB
american_scientific_journal-1841	68	47	.	.	PUNCT
american_scientific_journal-1841	69	1	this	this	PRON
american_scientific_journal-1841	69	2	is	be	AUX
american_scientific_journal-1841	69	3	only	only	ADV
american_scientific_journal-1841	69	4	an	an	DET
american_scientific_journal-1841	69	5	illustration	illustration	NOUN
american_scientific_journal-1841	69	6	.	.	PUNCT
american_scientific_journal-1841	70	1	we	we	PRON
american_scientific_journal-1841	70	2	now	now	ADV
american_scientific_journal-1841	70	3	begin	begin	VERB
american_scientific_journal-1841	70	4	a	a	DET
american_scientific_journal-1841	70	5	discussion	discussion	NOUN
american_scientific_journal-1841	70	6	on	on	ADP
american_scientific_journal-1841	70	7	solving	solve	VERB
american_scientific_journal-1841	70	8	the	the	DET
american_scientific_journal-1841	70	9	two	two	NUM
american_scientific_journal-1841	70	10	equations	equation	NOUN
american_scientific_journal-1841	70	11	(	(	PUNCT
american_scientific_journal-1841	70	12	3.1	3.1	NUM
american_scientific_journal-1841	70	13	)	)	PUNCT
american_scientific_journal-1841	70	14	and	and	CCONJ
american_scientific_journal-1841	70	15	(	(	PUNCT
american_scientific_journal-1841	70	16	3.2	3.2	NUM
american_scientific_journal-1841	70	17	)	)	PUNCT
american_scientific_journal-1841	70	18	,	,	PUNCT
american_scientific_journal-1841	70	19	for	for	SCONJ
american_scientific_journal-1841	70	20	𝑅𝑅	𝑅𝑅	PROPN
american_scientific_journal-1841	70	21	under	under	ADP
american_scientific_journal-1841	70	22	the	the	DET
american_scientific_journal-1841	70	23	boundary	boundary	ADJ
american_scientific_journal-1841	70	24	conditions	condition	NOUN
american_scientific_journal-1841	70	25	stated	state	VERB
american_scientific_journal-1841	70	26	below	below	ADV
american_scientific_journal-1841	70	27	.	.	PUNCT
american_scientific_journal-1841	71	1	however	however	ADV
american_scientific_journal-1841	71	2	in	in	ADP
american_scientific_journal-1841	71	3	the	the	DET
american_scientific_journal-1841	71	4	process	process	NOUN
american_scientific_journal-1841	71	5	,	,	PUNCT
american_scientific_journal-1841	71	6	𝜌𝜌	𝜌𝜌	PUNCT
american_scientific_journal-1841	71	7	and	and	CCONJ
american_scientific_journal-1841	71	8	𝛬𝛬	𝛬𝛬	PROPN
american_scientific_journal-1841	71	9	also	also	ADV
american_scientific_journal-1841	71	10	have	have	VERB
american_scientific_journal-1841	71	11	to	to	PART
american_scientific_journal-1841	71	12	be	be	AUX
american_scientific_journal-1841	71	13	found	find	VERB
american_scientific_journal-1841	71	14	as	as	SCONJ
american_scientific_journal-1841	71	15	they	they	PRON
american_scientific_journal-1841	71	16	are	be	AUX
american_scientific_journal-1841	71	17	not	not	PART
american_scientific_journal-1841	71	18	prescribed	prescribe	VERB
american_scientific_journal-1841	71	19	as	as	ADP
american_scientific_journal-1841	71	20	functions	function	NOUN
american_scientific_journal-1841	71	21	of	of	ADP
american_scientific_journal-1841	71	22	time	time	NOUN
american_scientific_journal-1841	71	23	.	.	PUNCT
american_scientific_journal-1841	72	1	only	only	ADV
american_scientific_journal-1841	72	2	𝑝𝑝	𝑝𝑝	NOUN
american_scientific_journal-1841	72	3	is	be	AUX
american_scientific_journal-1841	72	4	prescribed	prescribe	VERB
american_scientific_journal-1841	72	5	as	as	SCONJ
american_scientific_journal-1841	72	6	we	we	PRON
american_scientific_journal-1841	72	7	consider	consider	VERB
american_scientific_journal-1841	72	8	zero	zero	NUM
american_scientific_journal-1841	72	9	pressure	pressure	NOUN
american_scientific_journal-1841	72	10	models	model	NOUN
american_scientific_journal-1841	72	11	.	.	PUNCT
american_scientific_journal-1841	73	1	as	as	SCONJ
american_scientific_journal-1841	73	2	there	there	PRON
american_scientific_journal-1841	73	3	are	be	VERB
american_scientific_journal-1841	73	4	three	three	NUM
american_scientific_journal-1841	73	5	variables	variable	NOUN
american_scientific_journal-1841	73	6	in	in	ADP
american_scientific_journal-1841	73	7	effect	effect	NOUN
american_scientific_journal-1841	73	8	(	(	PUNCT
american_scientific_journal-1841	73	9	namely𝑅𝑅	namely𝑅𝑅	PROPN
american_scientific_journal-1841	73	10	,	,	PUNCT
american_scientific_journal-1841	73	11	𝜌𝜌	𝜌𝜌	PROPN
american_scientific_journal-1841	73	12	and	and	CCONJ
american_scientific_journal-1841	73	13	𝛬𝛬	𝛬𝛬	PROPN
american_scientific_journal-1841	73	14	)	)	PUNCT
american_scientific_journal-1841	73	15	,	,	PUNCT
american_scientific_journal-1841	73	16	in	in	ADP
american_scientific_journal-1841	73	17	addition	addition	NOUN
american_scientific_journal-1841	73	18	to	to	ADP
american_scientific_journal-1841	73	19	k	k	NOUN
american_scientific_journal-1841	73	20	,	,	PUNCT
american_scientific_journal-1841	73	21	we	we	PRON
american_scientific_journal-1841	73	22	could	could	AUX
american_scientific_journal-1841	73	23	assume	assume	VERB
american_scientific_journal-1841	73	24	a	a	DET
american_scientific_journal-1841	73	25	solution	solution	NOUN
american_scientific_journal-1841	73	26	of	of	ADP
american_scientific_journal-1841	73	27	the	the	DET
american_scientific_journal-1841	73	28	form	form	NOUN
american_scientific_journal-1841	73	29	𝑅𝑅	𝑅𝑅	PROPN
american_scientific_journal-1841	73	30	=	=	SYM
american_scientific_journal-1841	73	31	𝑅𝑅(𝜔𝜔	𝑅𝑅(𝜔𝜔	PROPN
american_scientific_journal-1841	73	32	)	)	PUNCT
american_scientific_journal-1841	73	33	and	and	CCONJ
american_scientific_journal-1841	73	34	substitute	substitute	VERB
american_scientific_journal-1841	73	35	it	it	PRON
american_scientific_journal-1841	73	36	in	in	ADP
american_scientific_journal-1841	73	37	the	the	DET
american_scientific_journal-1841	73	38	two	two	NUM
american_scientific_journal-1841	73	39	equations	equation	NOUN
american_scientific_journal-1841	73	40	(	(	PUNCT
american_scientific_journal-1841	73	41	3.1	3.1	NUM
american_scientific_journal-1841	73	42	)	)	PUNCT
american_scientific_journal-1841	73	43	and	and	CCONJ
american_scientific_journal-1841	73	44	(	(	PUNCT
american_scientific_journal-1841	73	45	3.2	3.2	NUM
american_scientific_journal-1841	73	46	)	)	PUNCT
american_scientific_journal-1841	73	47	,	,	PUNCT
american_scientific_journal-1841	73	48	to	to	PART
american_scientific_journal-1841	73	49	obtain	obtain	VERB
american_scientific_journal-1841	73	50	𝜌𝜌	𝜌𝜌	NOUN
american_scientific_journal-1841	73	51	and	and	CCONJ
american_scientific_journal-1841	73	52	𝛬𝛬	𝛬𝛬	PROPN
american_scientific_journal-1841	73	53	as	as	ADP
american_scientific_journal-1841	73	54	functions	function	NOUN
american_scientific_journal-1841	73	55	of	of	ADP
american_scientific_journal-1841	73	56	𝜔𝜔	𝜔𝜔	ADP
american_scientific_journal-1841	73	57	,	,	PUNCT
american_scientific_journal-1841	73	58	the	the	DET
american_scientific_journal-1841	73	59	cosmic	cosmic	ADJ
american_scientific_journal-1841	73	60	time	time	NOUN
american_scientific_journal-1841	73	61	,	,	PUNCT
american_scientific_journal-1841	73	62	and	and	CCONJ
american_scientific_journal-1841	73	63	see	see	VERB
american_scientific_journal-1841	73	64	whether	whether	SCONJ
american_scientific_journal-1841	73	65	the	the	DET
american_scientific_journal-1841	73	66	solution	solution	NOUN
american_scientific_journal-1841	73	67	would	would	AUX
american_scientific_journal-1841	73	68	agree	agree	VERB
american_scientific_journal-1841	73	69	with	with	ADP
american_scientific_journal-1841	73	70	the	the	DET
american_scientific_journal-1841	73	71	values	value	NOUN
american_scientific_journal-1841	73	72	of	of	ADP
american_scientific_journal-1841	73	73	𝜌𝜌	𝜌𝜌	ADP
american_scientific_journal-1841	73	74	and𝛬𝛬	and𝛬𝛬	NOUN
american_scientific_journal-1841	73	75	at	at	ADP
american_scientific_journal-1841	73	76	the	the	DET
american_scientific_journal-1841	73	77	present	present	ADJ
american_scientific_journal-1841	73	78	epoch	epoch	NOUN
american_scientific_journal-1841	73	79	..	..	PUNCT
american_scientific_journal-1841	73	80	further	far	ADV
american_scientific_journal-1841	73	81	since	since	SCONJ
american_scientific_journal-1841	73	82	we	we	PRON
american_scientific_journal-1841	73	83	are	be	AUX
american_scientific_journal-1841	73	84	interested	interested	ADJ
american_scientific_journal-1841	73	85	in	in	ADP
american_scientific_journal-1841	73	86	solutions	solution	NOUN
american_scientific_journal-1841	73	87	that	that	PRON
american_scientific_journal-1841	73	88	give	give	VERB
american_scientific_journal-1841	73	89	an	an	DET
american_scientific_journal-1841	73	90	expanding	expand	VERB
american_scientific_journal-1841	73	91	universe	universe	NOUN
american_scientific_journal-1841	73	92	with	with	ADP
american_scientific_journal-1841	73	93	an	an	DET
american_scientific_journal-1841	73	94	acceleration	acceleration	NOUN
american_scientific_journal-1841	73	95	in	in	ADP
american_scientific_journal-1841	73	96	the	the	DET
american_scientific_journal-1841	73	97	present	present	ADJ
american_scientific_journal-1841	73	98	epoch	epoch	NOUN
american_scientific_journal-1841	73	99	,	,	PUNCT
american_scientific_journal-1841	73	100	and	and	CCONJ
american_scientific_journal-1841	73	101	since	since	SCONJ
american_scientific_journal-1841	73	102	the	the	DET
american_scientific_journal-1841	73	103	universe	universe	NOUN
american_scientific_journal-1841	73	104	had	have	AUX
american_scientific_journal-1841	73	105	been	be	AUX
american_scientific_journal-1841	73	106	expanding	expand	VERB
american_scientific_journal-1841	73	107	with	with	ADP
american_scientific_journal-1841	73	108	a	a	DET
american_scientific_journal-1841	73	109	deceleration	deceleration	NOUN
american_scientific_journal-1841	73	110	in	in	ADP
american_scientific_journal-1841	73	111	the	the	DET
american_scientific_journal-1841	73	112	previous	previous	ADJ
american_scientific_journal-1841	73	113	epoch	epoch	NOUN
american_scientific_journal-1841	73	114	commencing	commencing	NOUN
american_scientific_journal-1841	73	115	with	with	ADP
american_scientific_journal-1841	73	116	the	the	DET
american_scientific_journal-1841	73	117	big	big	PROPN
american_scientific_journal-1841	73	118	bang	bang	PROPN
american_scientific_journal-1841	73	119	,	,	PUNCT
american_scientific_journal-1841	73	120	it	it	PRON
american_scientific_journal-1841	73	121	is	be	AUX
american_scientific_journal-1841	73	122	seen	see	VERB
american_scientific_journal-1841	73	123	that	that	SCONJ
american_scientific_journal-1841	73	124	�	�	PROPN
american_scientific_journal-1841	73	125	̈	̈	SYM
american_scientific_journal-1841	73	126	�	�	NOUN
american_scientific_journal-1841	73	127	𝑅(𝜔𝜔	𝑅(𝜔𝜔	NOUN
american_scientific_journal-1841	73	128	)	)	PUNCT
american_scientific_journal-1841	73	129	has	have	AUX
american_scientific_journal-1841	73	130	changed	change	VERB
american_scientific_journal-1841	73	131	from	from	ADP
american_scientific_journal-1841	73	132	negative	negative	ADJ
american_scientific_journal-1841	73	133	to	to	ADP
american_scientific_journal-1841	73	134	positive	positive	ADJ
american_scientific_journal-1841	73	135	at	at	ADP
american_scientific_journal-1841	73	136	the	the	DET
american_scientific_journal-1841	73	137	onset	onset	NOUN
american_scientific_journal-1841	73	138	of	of	ADP
american_scientific_journal-1841	73	139	acceleration	acceleration	NOUN
american_scientific_journal-1841	73	140	.	.	PUNCT
american_scientific_journal-1841	74	1	this	this	PRON
american_scientific_journal-1841	74	2	implies	imply	VERB
american_scientific_journal-1841	74	3	that	that	SCONJ
american_scientific_journal-1841	74	4	�	�	PROPN
american_scientific_journal-1841	74	5	̈	̈	SYM
american_scientific_journal-1841	74	6	�	�	NOUN
american_scientific_journal-1841	74	7	𝑅(𝜔𝜔	𝑅(𝜔𝜔	NOUN
american_scientific_journal-1841	74	8	)	)	PUNCT
american_scientific_journal-1841	74	9	is	be	AUX
american_scientific_journal-1841	74	10	equal	equal	ADJ
american_scientific_journal-1841	74	11	to	to	ADP
american_scientific_journal-1841	74	12	zero	zero	NUM
american_scientific_journal-1841	74	13	at	at	ADP
american_scientific_journal-1841	74	14	the	the	DET
american_scientific_journal-1841	74	15	onset	onset	NOUN
american_scientific_journal-1841	74	16	of	of	ADP
american_scientific_journal-1841	74	17	acceleration	acceleration	NOUN
american_scientific_journal-1841	74	18	.	.	PUNCT
american_scientific_journal-1841	75	1	in	in	ADP
american_scientific_journal-1841	75	2	solving	solve	VERB
american_scientific_journal-1841	75	3	the	the	DET
american_scientific_journal-1841	75	4	above	above	ADJ
american_scientific_journal-1841	75	5	equations	equation	NOUN
american_scientific_journal-1841	75	6	we	we	PRON
american_scientific_journal-1841	75	7	assume	assume	VERB
american_scientific_journal-1841	75	8	the	the	DET
american_scientific_journal-1841	75	9	following	following	ADJ
american_scientific_journal-1841	75	10	boundary	boundary	ADJ
american_scientific_journal-1841	75	11	conditions	condition	NOUN
american_scientific_journal-1841	75	12	.	.	PUNCT
american_scientific_journal-1841	76	1	𝑅𝑅(𝜔𝜔	𝑅𝑅(𝜔𝜔	NUM
american_scientific_journal-1841	76	2	)	)	PUNCT
american_scientific_journal-1841	77	1	=	=	SYM
american_scientific_journal-1841	77	2	0	0	NUM
american_scientific_journal-1841	78	1	at	at	ADP
american_scientific_journal-1841	78	2	𝜔𝜔	𝜔𝜔	ADP
american_scientific_journal-1841	78	3	=	=	SYM
american_scientific_journal-1841	78	4	0	0	PROPN
american_scientific_journal-1841	78	5	,	,	PUNCT
american_scientific_journal-1841	78	6	this	this	PRON
american_scientific_journal-1841	78	7	would	would	AUX
american_scientific_journal-1841	78	8	correspond	correspond	VERB
american_scientific_journal-1841	78	9	to	to	ADP
american_scientific_journal-1841	78	10	the	the	DET
american_scientific_journal-1841	78	11	usual	usual	ADJ
american_scientific_journal-1841	78	12	big	big	ADJ
american_scientific_journal-1841	78	13	bang	bang	NOUN
american_scientific_journal-1841	78	14	model	model	NOUN
american_scientific_journal-1841	78	15	at	at	ADP
american_scientific_journal-1841	78	16	𝜔𝜔	𝜔𝜔	ADP
american_scientific_journal-1841	78	17	=	=	NOUN
american_scientific_journal-1841	78	18	0	0	PROPN
american_scientific_journal-1841	78	19	.	.	PUNCT
american_scientific_journal-1841	79	1	the	the	DET
american_scientific_journal-1841	79	2	present	present	ADJ
american_scientific_journal-1841	79	3	observations	observation	NOUN
american_scientific_journal-1841	79	4	tell	tell	VERB
american_scientific_journal-1841	79	5	us	we	PRON
american_scientific_journal-1841	79	6	that	that	SCONJ
american_scientific_journal-1841	79	7	the	the	DET
american_scientific_journal-1841	79	8	ratio	ratio	NOUN
american_scientific_journal-1841	79	9	of	of	ADP
american_scientific_journal-1841	79	10	dark	dark	ADJ
american_scientific_journal-1841	79	11	energy	energy	NOUN
american_scientific_journal-1841	79	12	to	to	ADP
american_scientific_journal-1841	79	13	that	that	PRON
american_scientific_journal-1841	79	14	of	of	ADP
american_scientific_journal-1841	79	15	ordinary	ordinary	ADJ
american_scientific_journal-1841	79	16	matter	matter	NOUN
american_scientific_journal-1841	79	17	is	be	AUX
american_scientific_journal-1841	79	18	7	7	NUM
american_scientific_journal-1841	79	19	3	3	NUM
american_scientific_journal-1841	79	20	,	,	PUNCT
american_scientific_journal-1841	79	21	(	(	PUNCT
american_scientific_journal-1841	79	22	see	see	VERB
american_scientific_journal-1841	79	23	for	for	ADP
american_scientific_journal-1841	79	24	example[9	example[9	NOUN
american_scientific_journal-1841	79	25	]	]	PUNCT
american_scientific_journal-1841	79	26	)	)	PUNCT
american_scientific_journal-1841	79	27	.	.	PUNCT
american_scientific_journal-1841	80	1	american	american	PROPN
american_scientific_journal-1841	80	2	scientific	scientific	ADJ
american_scientific_journal-1841	80	3	research	research	PROPN
american_scientific_journal-1841	80	4	journal	journal	NOUN
american_scientific_journal-1841	80	5	for	for	ADP
american_scientific_journal-1841	80	6	engineering	engineering	NOUN
american_scientific_journal-1841	80	7	,	,	PUNCT
american_scientific_journal-1841	80	8	technology	technology	NOUN
american_scientific_journal-1841	80	9	,	,	PUNCT
american_scientific_journal-1841	80	10	and	and	CCONJ
american_scientific_journal-1841	80	11	sciences	science	NOUN
american_scientific_journal-1841	80	12	(	(	PUNCT
american_scientific_journal-1841	80	13	asrjets	asrjet	NOUN
american_scientific_journal-1841	80	14	)	)	PUNCT
american_scientific_journal-1841	80	15	(	(	PUNCT
american_scientific_journal-1841	80	16	2016	2016	NUM
american_scientific_journal-1841	80	17	)	)	PUNCT
american_scientific_journal-1841	80	18	volume	volume	NOUN
american_scientific_journal-1841	80	19	22	22	NUM
american_scientific_journal-1841	80	20	,	,	PUNCT
american_scientific_journal-1841	80	21	no	no	DET
american_scientific_journal-1841	80	22	1	1	NUM
american_scientific_journal-1841	80	23	,	,	PUNCT
american_scientific_journal-1841	80	24	pp	pp	ADV
american_scientific_journal-1841	80	25	184	184	NUM
american_scientific_journal-1841	80	26	-	-	SYM
american_scientific_journal-1841	80	27	194	194	NUM
american_scientific_journal-1841	80	28	189	189	NUM
american_scientific_journal-1841	80	29	since	since	SCONJ
american_scientific_journal-1841	80	30	we	we	PRON
american_scientific_journal-1841	80	31	assume	assume	VERB
american_scientific_journal-1841	80	32	that	that	SCONJ
american_scientific_journal-1841	80	33	𝛬𝛬′	𝛬𝛬′	NOUN
american_scientific_journal-1841	80	34	correspond	correspond	VERB
american_scientific_journal-1841	80	35	to	to	ADP
american_scientific_journal-1841	80	36	dark	dark	ADJ
american_scientific_journal-1841	80	37	energy	energy	NOUN
american_scientific_journal-1841	80	38	or	or	CCONJ
american_scientific_journal-1841	80	39	space	space	NOUN
american_scientific_journal-1841	80	40	-	-	PUNCT
american_scientific_journal-1841	80	41	time	time	NOUN
american_scientific_journal-1841	80	42	energy	energy	NOUN
american_scientific_journal-1841	80	43	,	,	PUNCT
american_scientific_journal-1841	80	44	we	we	PRON
american_scientific_journal-1841	80	45	should	should	AUX
american_scientific_journal-1841	80	46	take	take	VERB
american_scientific_journal-1841	80	47	𝛬𝛬	𝛬𝛬	PROPN
american_scientific_journal-1841	80	48	′	′	NUM
american_scientific_journal-1841	80	49	ρ	ρ	NOUN
american_scientific_journal-1841	80	50	=	=	NOUN
american_scientific_journal-1841	80	51	7	7	NUM
american_scientific_journal-1841	80	52	3	3	NUM
american_scientific_journal-1841	80	53	at	at	ADP
american_scientific_journal-1841	80	54	the	the	DET
american_scientific_journal-1841	80	55	present	present	ADJ
american_scientific_journal-1841	80	56	epoch	epoch	NOUN
american_scientific_journal-1841	80	57	.	.	PUNCT
american_scientific_journal-1841	81	1	since	since	SCONJ
american_scientific_journal-1841	81	2	according	accord	VERB
american_scientific_journal-1841	81	3	to	to	ADP
american_scientific_journal-1841	81	4	observations	observation	NOUN
american_scientific_journal-1841	81	5	the	the	DET
american_scientific_journal-1841	81	6	onset	onset	NOUN
american_scientific_journal-1841	81	7	of	of	ADP
american_scientific_journal-1841	81	8	acceleration	acceleration	NOUN
american_scientific_journal-1841	81	9	has	have	AUX
american_scientific_journal-1841	81	10	taken	take	VERB
american_scientific_journal-1841	81	11	place	place	NOUN
american_scientific_journal-1841	81	12	when	when	SCONJ
american_scientific_journal-1841	81	13	the	the	DET
american_scientific_journal-1841	81	14	redshift	redshift	NOUN
american_scientific_journal-1841	81	15	was	be	AUX
american_scientific_journal-1841	81	16	in	in	ADP
american_scientific_journal-1841	81	17	the	the	DET
american_scientific_journal-1841	81	18	range	range	NOUN
american_scientific_journal-1841	81	19	1.2	1.2	NUM
american_scientific_journal-1841	81	20	1.6	1.6	NUM
american_scientific_journal-1841	81	21	(	(	PUNCT
american_scientific_journal-1841	81	22	see	see	VERB
american_scientific_journal-1841	81	23	for	for	ADP
american_scientific_journal-1841	81	24	example[8	example[8	NOUN
american_scientific_journal-1841	81	25	]	]	NOUN
american_scientific_journal-1841	81	26	)	)	PUNCT
american_scientific_journal-1841	81	27	,	,	PUNCT
american_scientific_journal-1841	81	28	we	we	PRON
american_scientific_journal-1841	81	29	could	could	AUX
american_scientific_journal-1841	81	30	take	take	VERB
american_scientific_journal-1841	81	31	the	the	DET
american_scientific_journal-1841	81	32	range	range	NOUN
american_scientific_journal-1841	81	33	of	of	ADP
american_scientific_journal-1841	81	34	𝑧𝑧to	𝑧𝑧to	NOUN
american_scientific_journal-1841	81	35	be	be	AUX
american_scientific_journal-1841	81	36	𝑧𝑧	𝑧𝑧	PRON
american_scientific_journal-1841	82	1	=	=	NOUN
american_scientific_journal-1841	82	2	0.2	0.2	NUM
american_scientific_journal-1841	82	3	−	−	NOUN
american_scientific_journal-1841	82	4	0.6	0.6	NUM
american_scientific_journal-1841	82	5	at	at	ADP
american_scientific_journal-1841	82	6	the	the	DET
american_scientific_journal-1841	82	7	onset	onset	NOUN
american_scientific_journal-1841	82	8	of	of	ADP
american_scientific_journal-1841	82	9	acceleration	acceleration	NOUN
american_scientific_journal-1841	82	10	.	.	PUNCT
american_scientific_journal-1841	83	1	this	this	PRON
american_scientific_journal-1841	83	2	implies	imply	VERB
american_scientific_journal-1841	83	3	that	that	SCONJ
american_scientific_journal-1841	83	4	�	�	PROPN
american_scientific_journal-1841	83	5	̈	̈	SYM
american_scientific_journal-1841	83	6	�	�	NOUN
american_scientific_journal-1841	83	7	𝑅(𝜔𝜔)should	𝑅(𝜔𝜔)should	AUX
american_scientific_journal-1841	83	8	be	be	AUX
american_scientific_journal-1841	83	9	equal	equal	ADJ
american_scientific_journal-1841	83	10	to	to	ADP
american_scientific_journal-1841	83	11	zero	zero	NUM
american_scientific_journal-1841	83	12	in	in	ADP
american_scientific_journal-1841	83	13	the	the	DET
american_scientific_journal-1841	83	14	range	range	NOUN
american_scientific_journal-1841	83	15	𝑧𝑧	𝑧𝑧	ADP
american_scientific_journal-1841	83	16	=	=	NOUN
american_scientific_journal-1841	83	17	0.2	0.2	NUM
american_scientific_journal-1841	83	18	−	−	NUM
american_scientific_journal-1841	83	19	0.6	0.6	NUM
american_scientific_journal-1841	83	20	.	.	PUNCT
american_scientific_journal-1841	84	1	we	we	PRON
american_scientific_journal-1841	84	2	demand	demand	VERB
american_scientific_journal-1841	84	3	that	that	SCONJ
american_scientific_journal-1841	84	4	the	the	DET
american_scientific_journal-1841	84	5	density	density	NOUN
american_scientific_journal-1841	84	6	𝜌𝜌	𝜌𝜌	VERB
american_scientific_journal-1841	84	7	should	should	AUX
american_scientific_journal-1841	84	8	be	be	AUX
american_scientific_journal-1841	84	9	positive	positive	ADJ
american_scientific_journal-1841	84	10	for	for	SCONJ
american_scientific_journal-1841	84	11	all	all	DET
american_scientific_journal-1841	84	12	values	value	NOUN
american_scientific_journal-1841	84	13	ofthe	ofthe	VERB
american_scientific_journal-1841	84	14	cosmic	cosmic	ADJ
american_scientific_journal-1841	84	15	time𝜔𝜔	time𝜔𝜔	NOUN
american_scientific_journal-1841	84	16	,	,	PUNCT
american_scientific_journal-1841	84	17	and	and	CCONJ
american_scientific_journal-1841	84	18	should	should	AUX
american_scientific_journal-1841	84	19	lie	lie	VERB
american_scientific_journal-1841	84	20	between	between	ADP
american_scientific_journal-1841	84	21	4.5	4.5	NUM
american_scientific_journal-1841	84	22	×	×	PROPN
american_scientific_journal-1841	84	23	10−30	10−30	PROPN
american_scientific_journal-1841	84	24	𝑔𝑔𝑐𝑐𝑐𝑐−3and	𝑔𝑔𝑐𝑐𝑐𝑐−3and	CCONJ
american_scientific_journal-1841	84	25	1.8	1.8	NUM
american_scientific_journal-1841	84	26	×	×	NOUN
american_scientific_journal-1841	84	27	10−29	10−29	NOUN
american_scientific_journal-1841	84	28	𝑔𝑔𝑐𝑐𝑐𝑐−3	𝑔𝑔𝑐𝑐𝑐𝑐−3	NOUN
american_scientific_journal-1841	84	29	at	at	ADP
american_scientific_journal-1841	84	30	the	the	DET
american_scientific_journal-1841	84	31	present	present	ADJ
american_scientific_journal-1841	84	32	epoch	epoch	NOUN
american_scientific_journal-1841	84	33	.	.	PUNCT
american_scientific_journal-1841	85	1	we	we	PRON
american_scientific_journal-1841	85	2	take	take	VERB
american_scientific_journal-1841	85	3	the	the	DET
american_scientific_journal-1841	85	4	density	density	NOUN
american_scientific_journal-1841	85	5	to	to	PART
american_scientific_journal-1841	85	6	lie	lie	VERB
american_scientific_journal-1841	85	7	in	in	ADP
american_scientific_journal-1841	85	8	the	the	DET
american_scientific_journal-1841	85	9	above	above	ADJ
american_scientific_journal-1841	85	10	range	range	NOUN
american_scientific_journal-1841	85	11	as	as	SCONJ
american_scientific_journal-1841	85	12	different	different	ADJ
american_scientific_journal-1841	85	13	authors	author	NOUN
american_scientific_journal-1841	85	14	have	have	AUX
american_scientific_journal-1841	85	15	quoted	quote	VERB
american_scientific_journal-1841	85	16	these	these	DET
american_scientific_journal-1841	85	17	values	value	NOUN
american_scientific_journal-1841	85	18	.	.	PUNCT
american_scientific_journal-1841	86	1	we	we	PRON
american_scientific_journal-1841	86	2	make	make	VERB
american_scientific_journal-1841	86	3	no	no	DET
american_scientific_journal-1841	86	4	demand	demand	NOUN
american_scientific_journal-1841	86	5	on	on	ADP
american_scientific_journal-1841	86	6	𝛬𝛬′in	𝛬𝛬′in	PROPN
american_scientific_journal-1841	86	7	general	general	ADJ
american_scientific_journal-1841	86	8	,	,	PUNCT
american_scientific_journal-1841	86	9	as	as	SCONJ
american_scientific_journal-1841	86	10	𝛬𝛬′	𝛬𝛬′	NOUN
american_scientific_journal-1841	86	11	could	could	AUX
american_scientific_journal-1841	86	12	be	be	AUX
american_scientific_journal-1841	86	13	either	either	CCONJ
american_scientific_journal-1841	86	14	positive	positive	ADJ
american_scientific_journal-1841	86	15	or	or	CCONJ
american_scientific_journal-1841	86	16	negative	negative	ADJ
american_scientific_journal-1841	86	17	,	,	PUNCT
american_scientific_journal-1841	86	18	in	in	ADP
american_scientific_journal-1841	86	19	different	different	ADJ
american_scientific_journal-1841	86	20	epochs	epoch	NOUN
american_scientific_journal-1841	86	21	.	.	PUNCT
american_scientific_journal-1841	87	1	however	however	ADV
american_scientific_journal-1841	87	2	we	we	PRON
american_scientific_journal-1841	87	3	would	would	AUX
american_scientific_journal-1841	87	4	prefer	prefer	VERB
american_scientific_journal-1841	87	5	to	to	PART
american_scientific_journal-1841	87	6	have	have	VERB
american_scientific_journal-1841	87	7	𝛬𝛬′	𝛬𝛬′	NOUN
american_scientific_journal-1841	87	8	in	in	ADP
american_scientific_journal-1841	87	9	the	the	DET
american_scientific_journal-1841	87	10	range	range	NOUN
american_scientific_journal-1841	87	11	1.9	1.9	NUM
american_scientific_journal-1841	87	12	×	×	PROPN
american_scientific_journal-1841	87	13	10−30	10−30	PROPN
american_scientific_journal-1841	87	14	𝑔𝑔𝑐𝑐𝑐𝑐−3<𝛬𝛬′<7.7	𝑔𝑔𝑐𝑐𝑐𝑐−3<𝛬𝛬′<7.7	NOUN
american_scientific_journal-1841	87	15	×	×	PROPN
american_scientific_journal-1841	87	16	10−29	10−29	NOUN
american_scientific_journal-1841	87	17	𝑔𝑔𝑐𝑐𝑐𝑐−3	𝑔𝑔𝑐𝑐𝑐𝑐−3	NOUN
american_scientific_journal-1841	87	18	,	,	PUNCT
american_scientific_journal-1841	87	19	at	at	ADP
american_scientific_journal-1841	87	20	the	the	DET
american_scientific_journal-1841	87	21	present	present	ADJ
american_scientific_journal-1841	87	22	epoch	epoch	NOUN
american_scientific_journal-1841	87	23	,	,	PUNCT
american_scientific_journal-1841	87	24	as	as	SCONJ
american_scientific_journal-1841	87	25	a	a	DET
american_scientific_journal-1841	87	26	value	value	NOUN
american_scientific_journal-1841	87	27	in	in	ADP
american_scientific_journal-1841	87	28	this	this	DET
american_scientific_journal-1841	87	29	interval	interval	NOUN
american_scientific_journal-1841	87	30	is	be	AUX
american_scientific_journal-1841	87	31	quoted	quote	VERB
american_scientific_journal-1841	87	32	by	by	ADP
american_scientific_journal-1841	87	33	different	different	ADJ
american_scientific_journal-1841	87	34	authors	author	NOUN
american_scientific_journal-1841	87	35	as	as	ADP
american_scientific_journal-1841	87	36	the	the	DET
american_scientific_journal-1841	87	37	density	density	NOUN
american_scientific_journal-1841	87	38	of	of	ADP
american_scientific_journal-1841	87	39	dark	dark	ADJ
american_scientific_journal-1841	87	40	energy	energy	NOUN
american_scientific_journal-1841	87	41	.	.	PUNCT
american_scientific_journal-1841	88	1	using	use	VERB
american_scientific_journal-1841	88	2	equations	equation	NOUN
american_scientific_journal-1841	88	3	(	(	PUNCT
american_scientific_journal-1841	88	4	3.1	3.1	NUM
american_scientific_journal-1841	88	5	)	)	PUNCT
american_scientific_journal-1841	88	6	and	and	CCONJ
american_scientific_journal-1841	88	7	(	(	PUNCT
american_scientific_journal-1841	88	8	3.2	3.2	NUM
american_scientific_journal-1841	88	9	)	)	PUNCT
american_scientific_journal-1841	88	10	with	with	ADP
american_scientific_journal-1841	88	11	𝑝𝑝	𝑝𝑝	NOUN
american_scientific_journal-1841	88	12	=	=	SYM
american_scientific_journal-1841	88	13	0	0	NUM
american_scientific_journal-1841	88	14	we	we	PRON
american_scientific_journal-1841	88	15	obtain	obtain	VERB
american_scientific_journal-1841	88	16	the	the	DET
american_scientific_journal-1841	88	17	following	follow	VERB
american_scientific_journal-1841	88	18	expressions	expression	NOUN
american_scientific_journal-1841	88	19	for	for	ADP
american_scientific_journal-1841	88	20	density	density	NOUN
american_scientific_journal-1841	88	21	𝜌𝜌	𝜌𝜌	NOUN
american_scientific_journal-1841	88	22	of	of	ADP
american_scientific_journal-1841	88	23	the	the	DET
american_scientific_journal-1841	88	24	homogeneous	homogeneous	ADJ
american_scientific_journal-1841	88	25	universe	universe	NOUN
american_scientific_journal-1841	88	26	and	and	CCONJ
american_scientific_journal-1841	88	27	the	the	DET
american_scientific_journal-1841	88	28	density	density	NOUN
american_scientific_journal-1841	88	29	of	of	ADP
american_scientific_journal-1841	88	30	energy	energy	NOUN
american_scientific_journal-1841	88	31	due	due	ADP
american_scientific_journal-1841	88	32	to	to	ADP
american_scientific_journal-1841	88	33	space	space	NOUN
american_scientific_journal-1841	88	34	-	-	PUNCT
american_scientific_journal-1841	88	35	time	time	NOUN
american_scientific_journal-1841	88	36	which	which	PRON
american_scientific_journal-1841	88	37	is	be	AUX
american_scientific_journal-1841	88	38	represented	represent	VERB
american_scientific_journal-1841	88	39	by	by	ADP
american_scientific_journal-1841	88	40	𝛬𝛬′.	𝛬𝛬′.	X
american_scientific_journal-1841	88	41	𝜌𝜌	𝜌𝜌	ADP
american_scientific_journal-1841	88	42	=	=	SYM
american_scientific_journal-1841	88	43	1	1	NUM
american_scientific_journal-1841	88	44	4𝜋𝜋𝜋𝜋	4𝜋𝜋𝜋𝜋	NUM
american_scientific_journal-1841	88	45	�	�	PROPN
american_scientific_journal-1841	88	46	𝑘𝑘𝑐𝑐	𝑘𝑘𝑐𝑐	PROPN
american_scientific_journal-1841	88	47	2+	2+	NUM
american_scientific_journal-1841	88	48	�	�	PROPN
american_scientific_journal-1841	88	49	̇	̇	VERB
american_scientific_journal-1841	88	50	�	�	PROPN
american_scientific_journal-1841	88	51	𝑅2−𝑅𝑅	𝑅2−𝑅𝑅	NOUN
american_scientific_journal-1841	88	52	�	�	PROPN
american_scientific_journal-1841	88	53	̈	̈	SYM
american_scientific_journal-1841	88	54	�	�	PROPN
american_scientific_journal-1841	88	55	𝑅	𝑅	PROPN
american_scientific_journal-1841	88	56	𝑅𝑅2𝑐𝑐2	𝑅𝑅2𝑐𝑐2	PROPN
american_scientific_journal-1841	88	57	�	�	PROPN
american_scientific_journal-1841	88	58	(	(	PUNCT
american_scientific_journal-1841	88	59	5.1	5.1	NUM
american_scientific_journal-1841	88	60	)	)	PUNCT
american_scientific_journal-1841	88	61	𝛬𝛬′	𝛬𝛬′	NOUN
american_scientific_journal-1841	88	62	=	=	SYM
american_scientific_journal-1841	88	63	1	1	NUM
american_scientific_journal-1841	88	64	8𝜋𝜋𝜋𝜋	8𝜋𝜋𝜋𝜋	NUM
american_scientific_journal-1841	88	65	�	�	PROPN
american_scientific_journal-1841	88	66	𝑘𝑘𝑐𝑐	𝑘𝑘𝑐𝑐	PROPN
american_scientific_journal-1841	88	67	2+	2+	NUM
american_scientific_journal-1841	88	68	�	�	PROPN
american_scientific_journal-1841	88	69	̇	̇	NOUN
american_scientific_journal-1841	88	70	�	�	NOUN
american_scientific_journal-1841	88	71	𝑅2	𝑅2	NOUN
american_scientific_journal-1841	88	72	+	+	ADJ
american_scientific_journal-1841	88	73	2𝑅𝑅	2𝑅𝑅	NUM
american_scientific_journal-1841	88	74	�	�	NOUN
american_scientific_journal-1841	88	75	̈	̈	SYM
american_scientific_journal-1841	88	76	�	�	PROPN
american_scientific_journal-1841	88	77	𝑅	𝑅	PROPN
american_scientific_journal-1841	88	78	𝑅𝑅2𝑐𝑐2	𝑅𝑅2𝑐𝑐2	PROPN
american_scientific_journal-1841	88	79	�	�	PROPN
american_scientific_journal-1841	88	80	(	(	PUNCT
american_scientific_journal-1841	88	81	5.2	5.2	NUM
american_scientific_journal-1841	88	82	)	)	PUNCT
american_scientific_journal-1841	88	83	using	use	VERB
american_scientific_journal-1841	88	84	the	the	DET
american_scientific_journal-1841	88	85	boundary	boundary	ADJ
american_scientific_journal-1841	88	86	condition𝛬𝛬	condition𝛬𝛬	NOUN
american_scientific_journal-1841	88	87	′	′	NUM
american_scientific_journal-1841	89	1	ρ	ρ	PROPN
american_scientific_journal-1841	89	2	=	=	SYM
american_scientific_journal-1841	90	1	𝑠𝑠	𝑠𝑠	PROPN
american_scientific_journal-1841	90	2	,	,	PUNCT
american_scientific_journal-1841	90	3	where	where	SCONJ
american_scientific_journal-1841	90	4	n	n	PRON
american_scientific_journal-1841	90	5	is	be	AUX
american_scientific_journal-1841	90	6	a	a	DET
american_scientific_journal-1841	90	7	constant	constant	ADJ
american_scientific_journal-1841	90	8	at	at	ADP
american_scientific_journal-1841	90	9	the	the	DET
american_scientific_journal-1841	90	10	present	present	ADJ
american_scientific_journal-1841	90	11	epoch	epoch	NOUN
american_scientific_journal-1841	90	12	,	,	PUNCT
american_scientific_journal-1841	90	13	and	and	CCONJ
american_scientific_journal-1841	90	14	substituting	substitute	VERB
american_scientific_journal-1841	90	15	the	the	DET
american_scientific_journal-1841	90	16	above	above	ADJ
american_scientific_journal-1841	90	17	expressions	expression	NOUN
american_scientific_journal-1841	90	18	for	for	ADP
american_scientific_journal-1841	90	19	ρ	ρ	PROPN
american_scientific_journal-1841	90	20	and	and	CCONJ
american_scientific_journal-1841	90	21	λ	λ	NOUN
american_scientific_journal-1841	90	22	'	'	PUNCT
american_scientific_journal-1841	90	23	,	,	PUNCT
american_scientific_journal-1841	90	24	we	we	PRON
american_scientific_journal-1841	90	25	have	have	VERB
american_scientific_journal-1841	90	26	1	1	NUM
american_scientific_journal-1841	90	27	(	(	PUNCT
american_scientific_journal-1841	90	28	8𝜋𝜋𝜋𝜋	8𝜋𝜋𝜋𝜋	NUM
american_scientific_journal-1841	90	29	)	)	PUNCT
american_scientific_journal-1841	90	30	�	�	PROPN
american_scientific_journal-1841	90	31	𝑘𝑘𝑐𝑐	𝑘𝑘𝑐𝑐	PROPN
american_scientific_journal-1841	90	32	2+	2+	NUM
american_scientific_journal-1841	90	33	�	�	PROPN
american_scientific_journal-1841	90	34	̇	̇	NOUN
american_scientific_journal-1841	90	35	�	�	NOUN
american_scientific_journal-1841	90	36	𝑅2	𝑅2	NOUN
american_scientific_journal-1841	90	37	+	+	ADJ
american_scientific_journal-1841	90	38	2𝑅𝑅	2𝑅𝑅	NUM
american_scientific_journal-1841	90	39	�	�	NOUN
american_scientific_journal-1841	90	40	̈	̈	SYM
american_scientific_journal-1841	90	41	�	�	PROPN
american_scientific_journal-1841	90	42	𝑅	𝑅	PROPN
american_scientific_journal-1841	90	43	𝑅𝑅2𝑐𝑐2	𝑅𝑅2𝑐𝑐2	PROPN
american_scientific_journal-1841	90	44	�	�	PROPN
american_scientific_journal-1841	90	45	�	�	PROPN
american_scientific_journal-1841	90	46	(	(	PUNCT
american_scientific_journal-1841	90	47	4𝜋𝜋𝜋𝜋	4𝜋𝜋𝜋𝜋	NOUN
american_scientific_journal-1841	90	48	)	)	PUNCT
american_scientific_journal-1841	90	49	𝑅𝑅2𝑐𝑐2	𝑅𝑅2𝑐𝑐2	PROPN
american_scientific_journal-1841	90	50	𝑘𝑘𝑐𝑐2+	𝑘𝑘𝑐𝑐2+	PROPN
american_scientific_journal-1841	90	51	�	�	PROPN
american_scientific_journal-1841	90	52	̇	̇	NOUN
american_scientific_journal-1841	90	53	�	�	PROPN
american_scientific_journal-1841	90	54	𝑅2−𝑅𝑅	𝑅2−𝑅𝑅	NOUN
american_scientific_journal-1841	90	55	�	�	PROPN
american_scientific_journal-1841	90	56	̈	̈	SYM
american_scientific_journal-1841	90	57	�	�	PROPN
american_scientific_journal-1841	90	58	𝑅	𝑅	PROPN
american_scientific_journal-1841	90	59	�	�	PROPN
american_scientific_journal-1841	90	60	=	=	PUNCT
american_scientific_journal-1841	90	61	𝑠𝑠	𝑠𝑠	PROPN
american_scientific_journal-1841	90	62	,	,	PUNCT
american_scientific_journal-1841	90	63	(	(	PUNCT
american_scientific_journal-1841	90	64	5.3	5.3	NUM
american_scientific_journal-1841	90	65	)	)	PUNCT
american_scientific_journal-1841	90	66	which	which	PRON
american_scientific_journal-1841	90	67	reduces	reduce	VERB
american_scientific_journal-1841	90	68	to	to	ADP
american_scientific_journal-1841	90	69	(	(	PUNCT
american_scientific_journal-1841	90	70	2𝑠𝑠	2𝑠𝑠	ADJ
american_scientific_journal-1841	90	71	−	−	PROPN
american_scientific_journal-1841	90	72	1)(𝑘𝑘𝑐𝑐2	1)(𝑘𝑘𝑐𝑐2	NUM
american_scientific_journal-1841	90	73	+	+	SYM
american_scientific_journal-1841	90	74	�	�	PROPN
american_scientific_journal-1841	90	75	̇	̇	NOUN
american_scientific_journal-1841	90	76	�	�	PROPN
american_scientific_journal-1841	90	77	𝑅2	𝑅2	NOUN
american_scientific_journal-1841	90	78	)	)	PUNCT
american_scientific_journal-1841	91	1	−	−	ADP
american_scientific_journal-1841	91	2	2(𝑠𝑠	2(𝑠𝑠	NUM
american_scientific_journal-1841	91	3	+	+	CCONJ
american_scientific_journal-1841	91	4	1)𝑅𝑅	1)𝑅𝑅	NUM
american_scientific_journal-1841	91	5	�	�	NOUN
american_scientific_journal-1841	91	6	̈	̈	X
american_scientific_journal-1841	91	7	�	�	NOUN
american_scientific_journal-1841	91	8	𝑅	𝑅	NOUN
american_scientific_journal-1841	91	9	=	=	NOUN
american_scientific_journal-1841	91	10	0	0	NUM
american_scientific_journal-1841	91	11	i.e.	i.e.	X
american_scientific_journal-1841	91	12	�	�	PROPN
american_scientific_journal-1841	91	13	̈	̈	SYM
american_scientific_journal-1841	91	14	�	�	PROPN
american_scientific_journal-1841	91	15	𝑅	𝑅	NOUN
american_scientific_journal-1841	91	16	=	=	PUNCT
american_scientific_journal-1841	91	17	(	(	PUNCT
american_scientific_journal-1841	91	18	2𝑛𝑛−1)(𝑘𝑘𝑐𝑐2+	2𝑛𝑛−1)(𝑘𝑘𝑐𝑐2+	PROPN
american_scientific_journal-1841	91	19	�	�	NOUN
american_scientific_journal-1841	91	20	̇	̇	NOUN
american_scientific_journal-1841	91	21	�	�	NOUN
american_scientific_journal-1841	91	22	𝑅2	𝑅2	NOUN
american_scientific_journal-1841	91	23	)	)	PUNCT
american_scientific_journal-1841	91	24	2(𝑛𝑛+1	2(𝑛𝑛+1	NOUN
american_scientific_journal-1841	91	25	)	)	PUNCT
american_scientific_journal-1841	91	26	𝑅𝑅	𝑅𝑅	PROPN
american_scientific_journal-1841	91	27	,	,	PUNCT
american_scientific_journal-1841	91	28	at	at	ADP
american_scientific_journal-1841	91	29	the	the	DET
american_scientific_journal-1841	91	30	present	present	ADJ
american_scientific_journal-1841	91	31	epoch	epoch	NOUN
american_scientific_journal-1841	91	32	.	.	PUNCT
american_scientific_journal-1841	92	1	(	(	PUNCT
american_scientific_journal-1841	92	2	5.4	5.4	NUM
american_scientific_journal-1841	92	3	)	)	PUNCT
american_scientific_journal-1841	92	4	at	at	ADP
american_scientific_journal-1841	92	5	the	the	DET
american_scientific_journal-1841	92	6	present	present	ADJ
american_scientific_journal-1841	92	7	epoch	epoch	NOUN
american_scientific_journal-1841	92	8	this	this	PRON
american_scientific_journal-1841	92	9	implies	imply	VERB
american_scientific_journal-1841	92	10	that	that	SCONJ
american_scientific_journal-1841	92	11	�	�	PROPN
american_scientific_journal-1841	92	12	̈	̈	X
american_scientific_journal-1841	92	13	�	�	PROPN
american_scientific_journal-1841	92	14	𝑅	𝑅	PROPN
american_scientific_journal-1841	92	15	>	>	X
american_scientific_journal-1841	92	16	0	0	PROPN
american_scientific_journal-1841	92	17	,	,	PUNCT
american_scientific_journal-1841	92	18	if	if	SCONJ
american_scientific_journal-1841	92	19	𝑘𝑘	𝑘𝑘	PROPN
american_scientific_journal-1841	92	20	=	=	SYM
american_scientific_journal-1841	92	21	0	0	NUM
american_scientific_journal-1841	92	22	𝑜𝑜𝑟𝑟	𝑜𝑜𝑟𝑟	NOUN
american_scientific_journal-1841	92	23	1	1	NUM
american_scientific_journal-1841	92	24	andn	andn	ADJ
american_scientific_journal-1841	92	25	>	>	X
american_scientific_journal-1841	92	26	1	1	NUM
american_scientific_journal-1841	92	27	2	2	NUM
american_scientific_journal-1841	92	28	.	.	PUNCT
american_scientific_journal-1841	93	1	if	if	SCONJ
american_scientific_journal-1841	93	2	n	n	PROPN
american_scientific_journal-1841	93	3	=	=	NOUN
american_scientific_journal-1841	93	4	1	1	NUM
american_scientific_journal-1841	93	5	2	2	NUM
american_scientific_journal-1841	93	6	,	,	PUNCT
american_scientific_journal-1841	93	7	�	�	NOUN
american_scientific_journal-1841	93	8	̈	̈	X
american_scientific_journal-1841	93	9	�	�	NOUN
american_scientific_journal-1841	93	10	𝑅	𝑅	NOUN
american_scientific_journal-1841	93	11	=	=	NOUN
american_scientific_journal-1841	93	12	0	0	PROPN
american_scientific_journal-1841	93	13	for	for	ADP
american_scientific_journal-1841	93	14	all	all	DET
american_scientific_journal-1841	93	15	values	value	NOUN
american_scientific_journal-1841	93	16	of	of	ADP
american_scientific_journal-1841	93	17	𝑘𝑘.	𝑘𝑘.	NOUN
american_scientific_journal-1841	93	18	it	it	PRON
american_scientific_journal-1841	93	19	implies	imply	VERB
american_scientific_journal-1841	93	20	that	that	SCONJ
american_scientific_journal-1841	93	21	for	for	ADP
american_scientific_journal-1841	93	22	values	value	NOUN
american_scientific_journal-1841	93	23	of	of	ADP
american_scientific_journal-1841	93	24	𝑘𝑘	𝑘𝑘	NOUN
american_scientific_journal-1841	93	25	=	=	SYM
american_scientific_journal-1841	93	26	0	0	NUM
american_scientific_journal-1841	93	27	or	or	CCONJ
american_scientific_journal-1841	93	28	1	1	NUM
american_scientific_journal-1841	93	29	the	the	DET
american_scientific_journal-1841	93	30	universe	universe	ADJ
american_scientific_journal-1841	93	31	changes	change	NOUN
american_scientific_journal-1841	93	32	from	from	ADP
american_scientific_journal-1841	93	33	deceleration	deceleration	NOUN
american_scientific_journal-1841	93	34	to	to	ADP
american_scientific_journal-1841	93	35	acceleration	acceleration	NOUN
american_scientific_journal-1841	93	36	when	when	SCONJ
american_scientific_journal-1841	93	37	n	n	PROPN
american_scientific_journal-1841	93	38	=	=	NOUN
american_scientific_journal-1841	93	39	1	1	NUM
american_scientific_journal-1841	93	40	2	2	NUM
american_scientific_journal-1841	93	41	.	.	PUNCT
american_scientific_journal-1841	94	1	further	far	ADV
american_scientific_journal-1841	94	2	if	if	SCONJ
american_scientific_journal-1841	94	3	𝑘𝑘	𝑘𝑘	PROPN
american_scientific_journal-1841	94	4	=	=	SYM
american_scientific_journal-1841	94	5	−1	−1	PROPN
american_scientific_journal-1841	94	6	,	,	PUNCT
american_scientific_journal-1841	94	7	�	�	PROPN
american_scientific_journal-1841	94	8	̈	̈	X
american_scientific_journal-1841	94	9	�	�	NOUN
american_scientific_journal-1841	94	10	𝑅	𝑅	NOUN
american_scientific_journal-1841	94	11	<	<	NOUN
american_scientific_journal-1841	94	12	0	0	PROPN
american_scientific_journal-1841	94	13	,	,	PUNCT
american_scientific_journal-1841	94	14	when	when	SCONJ
american_scientific_journal-1841	94	15	n	n	X
american_scientific_journal-1841	94	16	>	>	SYM
american_scientific_journal-1841	94	17	1	1	NUM
american_scientific_journal-1841	94	18	2	2	NUM
american_scientific_journal-1841	94	19	at	at	ADP
american_scientific_journal-1841	94	20	the	the	DET
american_scientific_journal-1841	94	21	present	present	ADJ
american_scientific_journal-1841	94	22	epoch	epoch	NOUN
american_scientific_journal-1841	94	23	assuming	assume	VERB
american_scientific_journal-1841	94	24	that	that	SCONJ
american_scientific_journal-1841	94	25	�	�	PROPN
american_scientific_journal-1841	94	26	̇	̇	PROPN
american_scientific_journal-1841	94	27	�	�	PROPN
american_scientific_journal-1841	94	28	𝑅	𝑅	PROPN
american_scientific_journal-1841	94	29	is	be	AUX
american_scientific_journal-1841	94	30	less	less	ADJ
american_scientific_journal-1841	94	31	than	than	ADP
american_scientific_journal-1841	94	32	c	c	PROPN
american_scientific_journal-1841	94	33	,	,	PUNCT
american_scientific_journal-1841	94	34	indicating	indicate	VERB
american_scientific_journal-1841	94	35	a	a	DET
american_scientific_journal-1841	94	36	deceleration	deceleration	NOUN
american_scientific_journal-1841	94	37	.	.	PUNCT
american_scientific_journal-1841	95	1	under	under	ADP
american_scientific_journal-1841	95	2	these	these	DET
american_scientific_journal-1841	95	3	conditions	condition	NOUN
american_scientific_journal-1841	95	4	the	the	DET
american_scientific_journal-1841	95	5	universe	universe	ADJ
american_scientific_journal-1841	95	6	changes	change	NOUN
american_scientific_journal-1841	95	7	from	from	ADP
american_scientific_journal-1841	95	8	acceleration	acceleration	NOUN
american_scientific_journal-1841	95	9	to	to	ADP
american_scientific_journal-1841	95	10	deceleration	deceleration	NOUN
american_scientific_journal-1841	95	11	when	when	SCONJ
american_scientific_journal-1841	95	12	n	n	PROPN
american_scientific_journal-1841	95	13	=	=	NOUN
american_scientific_journal-1841	95	14	1	1	NUM
american_scientific_journal-1841	95	15	2	2	NUM
american_scientific_journal-1841	95	16	.	.	PUNCT
american_scientific_journal-1841	96	1	it	it	PRON
american_scientific_journal-1841	96	2	follows	follow	VERB
american_scientific_journal-1841	96	3	that	that	SCONJ
american_scientific_journal-1841	96	4	,	,	PUNCT
american_scientific_journal-1841	96	5	assuming	assume	VERB
american_scientific_journal-1841	96	6	𝑘𝑘	𝑘𝑘	X
american_scientific_journal-1841	96	7	=	=	SYM
american_scientific_journal-1841	96	8	0	0	NUM
american_scientific_journal-1841	96	9	or	or	CCONJ
american_scientific_journal-1841	96	10	1	1	NUM
american_scientific_journal-1841	96	11	,	,	PUNCT
american_scientific_journal-1841	96	12	the	the	DET
american_scientific_journal-1841	96	13	universe	universe	NOUN
american_scientific_journal-1841	96	14	expands	expand	VERB
american_scientific_journal-1841	96	15	with	with	ADP
american_scientific_journal-1841	96	16	acceleration	acceleration	NOUN
american_scientific_journal-1841	96	17	at	at	ADP
american_scientific_journal-1841	96	18	the	the	DET
american_scientific_journal-1841	96	19	present	present	ADJ
american_scientific_journal-1841	96	20	epoch	epoch	NOUN
american_scientific_journal-1841	96	21	since	since	SCONJ
american_scientific_journal-1841	96	22	n	n	NOUN
american_scientific_journal-1841	96	23	=	=	SYM
american_scientific_journal-1841	96	24	7	7	NUM
american_scientific_journal-1841	96	25	3	3	NUM
american_scientific_journal-1841	96	26	american	american	ADJ
american_scientific_journal-1841	96	27	scientific	scientific	ADJ
american_scientific_journal-1841	96	28	research	research	NOUN
american_scientific_journal-1841	96	29	journal	journal	NOUN
american_scientific_journal-1841	96	30	for	for	ADP
american_scientific_journal-1841	96	31	engineering	engineering	NOUN
american_scientific_journal-1841	96	32	,	,	PUNCT
american_scientific_journal-1841	96	33	technology	technology	NOUN
american_scientific_journal-1841	96	34	,	,	PUNCT
american_scientific_journal-1841	96	35	and	and	CCONJ
american_scientific_journal-1841	96	36	sciences	science	NOUN
american_scientific_journal-1841	96	37	(	(	PUNCT
american_scientific_journal-1841	96	38	asrjets	asrjet	NOUN
american_scientific_journal-1841	96	39	)	)	PUNCT
american_scientific_journal-1841	96	40	(	(	PUNCT
american_scientific_journal-1841	96	41	2016	2016	NUM
american_scientific_journal-1841	96	42	)	)	PUNCT
american_scientific_journal-1841	96	43	volume	volume	NOUN
american_scientific_journal-1841	96	44	22	22	NUM
american_scientific_journal-1841	96	45	,	,	PUNCT
american_scientific_journal-1841	96	46	no	no	DET
american_scientific_journal-1841	96	47	1	1	NUM
american_scientific_journal-1841	96	48	,	,	PUNCT
american_scientific_journal-1841	96	49	pp	pp	ADV
american_scientific_journal-1841	96	50	184	184	NUM
american_scientific_journal-1841	96	51	-	-	SYM
american_scientific_journal-1841	96	52	194	194	NUM
american_scientific_journal-1841	96	53	190	190	NUM
american_scientific_journal-1841	96	54	(	(	PUNCT
american_scientific_journal-1841	96	55	boundary	boundary	ADJ
american_scientific_journal-1841	96	56	condition	condition	NOUN
american_scientific_journal-1841	96	57	(	(	PUNCT
american_scientific_journal-1841	96	58	ii	ii	NOUN
american_scientific_journal-1841	96	59	)	)	PUNCT
american_scientific_journal-1841	96	60	)	)	PUNCT
american_scientific_journal-1841	96	61	.	.	PUNCT
american_scientific_journal-1841	97	1	further	far	ADV
american_scientific_journal-1841	97	2	even	even	ADV
american_scientific_journal-1841	97	3	if	if	SCONJ
american_scientific_journal-1841	97	4	𝛬𝛬′	𝛬𝛬′	NOUN
american_scientific_journal-1841	97	5	is	be	AUX
american_scientific_journal-1841	97	6	a	a	DET
american_scientific_journal-1841	97	7	constant	constant	ADJ
american_scientific_journal-1841	97	8	the	the	DET
american_scientific_journal-1841	97	9	universe	universe	ADJ
american_scientific_journal-1841	97	10	changes	change	NOUN
american_scientific_journal-1841	97	11	from	from	ADP
american_scientific_journal-1841	97	12	deceleration	deceleration	NOUN
american_scientific_journal-1841	97	13	to	to	ADP
american_scientific_journal-1841	97	14	acceleration	acceleration	NOUN
american_scientific_journal-1841	97	15	when	when	SCONJ
american_scientific_journal-1841	97	16	ρ	ρ	PROPN
american_scientific_journal-1841	97	17	decreases	decrease	VERB
american_scientific_journal-1841	97	18	to	to	ADP
american_scientific_journal-1841	97	19	the	the	DET
american_scientific_journal-1841	97	20	value	value	NOUN
american_scientific_journal-1841	97	21	2𝛬𝛬′	2𝛬𝛬′	NUM
american_scientific_journal-1841	97	22	,	,	PUNCT
american_scientific_journal-1841	97	23	if	if	SCONJ
american_scientific_journal-1841	97	24	𝑘𝑘	𝑘𝑘	PROPN
american_scientific_journal-1841	97	25	=	=	SYM
american_scientific_journal-1841	97	26	0	0	NUM
american_scientific_journal-1841	97	27	or	or	CCONJ
american_scientific_journal-1841	97	28	1	1	NUM
american_scientific_journal-1841	97	29	,	,	PUNCT
american_scientific_journal-1841	97	30	and	and	CCONJ
american_scientific_journal-1841	97	31	the	the	DET
american_scientific_journal-1841	97	32	other	other	ADJ
american_scientific_journal-1841	97	33	way	way	NOUN
american_scientific_journal-1841	97	34	around	around	ADP
american_scientific_journal-1841	97	35	when𝑘𝑘	when𝑘𝑘	NOUN
american_scientific_journal-1841	97	36	=	=	SYM
american_scientific_journal-1841	97	37	−1	−1	NOUN
american_scientific_journal-1841	97	38	.	.	PUNCT
american_scientific_journal-1841	98	1	reference	reference	NOUN
american_scientific_journal-1841	99	1	[	[	X
american_scientific_journal-1841	99	2	10	10	NUM
american_scientific_journal-1841	99	3	]	]	PUNCT
american_scientific_journal-1841	99	4	has	have	AUX
american_scientific_journal-1841	99	5	found	find	VERB
american_scientific_journal-1841	99	6	many	many	ADJ
american_scientific_journal-1841	99	7	solutions	solution	NOUN
american_scientific_journal-1841	99	8	but	but	CCONJ
american_scientific_journal-1841	99	9	unfortunately	unfortunately	ADV
american_scientific_journal-1841	99	10	none	none	NOUN
american_scientific_journal-1841	99	11	of	of	ADP
american_scientific_journal-1841	99	12	them	they	PRON
american_scientific_journal-1841	99	13	satisfies	satisfy	VERB
american_scientific_journal-1841	99	14	all	all	DET
american_scientific_journal-1841	99	15	the	the	DET
american_scientific_journal-1841	99	16	boundary	boundary	ADJ
american_scientific_journal-1841	99	17	conditions	condition	NOUN
american_scientific_journal-1841	99	18	,	,	PUNCT
american_scientific_journal-1841	99	19	though	though	SCONJ
american_scientific_journal-1841	99	20	he	he	PRON
american_scientific_journal-1841	99	21	has	have	VERB
american_scientific_journal-1841	99	22	solutions	solution	NOUN
american_scientific_journal-1841	99	23	that	that	PRON
american_scientific_journal-1841	99	24	give	give	VERB
american_scientific_journal-1841	99	25	inflation	inflation	NOUN
american_scientific_journal-1841	99	26	as	as	ADV
american_scientific_journal-1841	99	27	well	well	ADV
american_scientific_journal-1841	99	28	.	.	PUNCT
american_scientific_journal-1841	100	1	katugampala	katugampala	PROPN
american_scientific_journal-1841	100	2	and	and	CCONJ
american_scientific_journal-1841	100	3	de	de	PROPN
american_scientific_journal-1841	100	4	silva	silva	NOUN
american_scientific_journal-1841	100	5	[	[	X
american_scientific_journal-1841	100	6	11	11	NUM
american_scientific_journal-1841	100	7	]	]	PUNCT
american_scientific_journal-1841	100	8	also	also	ADV
american_scientific_journal-1841	100	9	have	have	AUX
american_scientific_journal-1841	100	10	given	give	VERB
american_scientific_journal-1841	100	11	solutions	solution	NOUN
american_scientific_journal-1841	100	12	involving	involve	VERB
american_scientific_journal-1841	100	13	both	both	CCONJ
american_scientific_journal-1841	100	14	acceleration	acceleration	NOUN
american_scientific_journal-1841	100	15	and	and	CCONJ
american_scientific_journal-1841	100	16	deceleration	deceleration	NOUN
american_scientific_journal-1841	100	17	of	of	ADP
american_scientific_journal-1841	100	18	the	the	DET
american_scientific_journal-1841	100	19	universe	universe	NOUN
american_scientific_journal-1841	100	20	though	though	SCONJ
american_scientific_journal-1841	100	21	the	the	DET
american_scientific_journal-1841	100	22	solutions	solution	NOUN
american_scientific_journal-1841	100	23	do	do	AUX
american_scientific_journal-1841	100	24	not	not	PART
american_scientific_journal-1841	100	25	satisfy	satisfy	VERB
american_scientific_journal-1841	100	26	some	some	PRON
american_scientific_journal-1841	100	27	of	of	ADP
american_scientific_journal-1841	100	28	the	the	DET
american_scientific_journal-1841	100	29	boundary	boundary	ADJ
american_scientific_journal-1841	100	30	conditions	condition	NOUN
american_scientific_journal-1841	100	31	.	.	PUNCT
american_scientific_journal-1841	101	1	6	6	X
american_scientific_journal-1841	101	2	.	.	X
american_scientific_journal-1841	101	3	a	a	DET
american_scientific_journal-1841	101	4	solution	solution	NOUN
american_scientific_journal-1841	101	5	with	with	ADP
american_scientific_journal-1841	101	6	deceleration	deceleration	NOUN
american_scientific_journal-1841	101	7	and	and	CCONJ
american_scientific_journal-1841	101	8	acceleration	acceleration	NOUN
american_scientific_journal-1841	101	9	though	though	SCONJ
american_scientific_journal-1841	101	10	it	it	PRON
american_scientific_journal-1841	101	11	is	be	AUX
american_scientific_journal-1841	101	12	difficult	difficult	ADJ
american_scientific_journal-1841	101	13	to	to	PART
american_scientific_journal-1841	101	14	find	find	VERB
american_scientific_journal-1841	101	15	a	a	DET
american_scientific_journal-1841	101	16	model	model	NOUN
american_scientific_journal-1841	101	17	for	for	ADP
american_scientific_journal-1841	101	18	the	the	DET
american_scientific_journal-1841	101	19	universe	universe	NOUN
american_scientific_journal-1841	101	20	satisfying	satisfy	VERB
american_scientific_journal-1841	101	21	all	all	DET
american_scientific_journal-1841	101	22	the	the	DET
american_scientific_journal-1841	101	23	boundary	boundary	ADJ
american_scientific_journal-1841	101	24	conditions	condition	NOUN
american_scientific_journal-1841	101	25	stated	state	VERB
american_scientific_journal-1841	101	26	,	,	PUNCT
american_scientific_journal-1841	101	27	katugamapala	katugamapala	X
american_scientific_journal-1841	101	28	[	[	X
american_scientific_journal-1841	101	29	10	10	NUM
american_scientific_journal-1841	101	30	]	]	PUNCT
american_scientific_journal-1841	101	31	has	have	AUX
american_scientific_journal-1841	101	32	shown	show	VERB
american_scientific_journal-1841	101	33	that	that	SCONJ
american_scientific_journal-1841	101	34	the	the	DET
american_scientific_journal-1841	101	35	model	model	NOUN
american_scientific_journal-1841	101	36	𝑅𝑅	𝑅𝑅	PROPN
american_scientific_journal-1841	101	37	=	=	PUNCT
american_scientific_journal-1841	101	38	𝑏𝑏	𝑏𝑏	NUM
american_scientific_journal-1841	101	39	�	�	PROPN
american_scientific_journal-1841	101	40	(1	(1	NUM
american_scientific_journal-1841	101	41	−	−	PROPN
american_scientific_journal-1841	101	42	cos3𝜔𝜔𝜔𝜔	cos3𝜔𝜔𝜔𝜔	PROPN
american_scientific_journal-1841	101	43	)	)	PUNCT
american_scientific_journal-1841	101	44	(	(	PUNCT
american_scientific_journal-1841	101	45	6.1	6.1	NUM
american_scientific_journal-1841	101	46	)	)	PUNCT
american_scientific_journal-1841	101	47	where	where	SCONJ
american_scientific_journal-1841	101	48	b	b	NOUN
american_scientific_journal-1841	101	49	and	and	CCONJ
american_scientific_journal-1841	101	50	𝜔𝜔	𝜔𝜔	NOUN
american_scientific_journal-1841	101	51	are	be	AUX
american_scientific_journal-1841	101	52	constants	constant	NOUN
american_scientific_journal-1841	101	53	,	,	PUNCT
american_scientific_journal-1841	101	54	satisfies	satisfy	VERB
american_scientific_journal-1841	101	55	inflation	inflation	NOUN
american_scientific_journal-1841	101	56	,	,	PUNCT
american_scientific_journal-1841	101	57	an	an	DET
american_scientific_journal-1841	101	58	acceleration	acceleration	NOUN
american_scientific_journal-1841	101	59	at	at	ADP
american_scientific_journal-1841	101	60	the	the	DET
american_scientific_journal-1841	101	61	present	present	ADJ
american_scientific_journal-1841	101	62	epoch	epoch	NOUN
american_scientific_journal-1841	101	63	,	,	PUNCT
american_scientific_journal-1841	101	64	taken	take	VERB
american_scientific_journal-1841	101	65	as	as	ADP
american_scientific_journal-1841	101	66	𝜔𝜔0	𝜔𝜔0	X
american_scientific_journal-1841	101	67	=	=	SYM
american_scientific_journal-1841	101	68	4.26	4.26	NUM
american_scientific_journal-1841	101	69	×	×	NOUN
american_scientific_journal-1841	101	70	1017𝑠𝑠	1017𝑠𝑠	ADJ
american_scientific_journal-1841	101	71	(	(	PUNCT
american_scientific_journal-1841	101	72	13.69	13.69	NUM
american_scientific_journal-1841	101	73	×	×	NOUN
american_scientific_journal-1841	101	74	109	109	NUM
american_scientific_journal-1841	101	75	𝑦𝑦𝑦𝑦𝑦𝑦𝑟𝑟𝑠𝑠	𝑦𝑦𝑦𝑦𝑦𝑦𝑟𝑟𝑠𝑠	ADJ
american_scientific_journal-1841	101	76	)	)	PUNCT
american_scientific_journal-1841	101	77	,	,	PUNCT
american_scientific_journal-1841	101	78	time	time	NOUN
american_scientific_journal-1841	101	79	from	from	ADP
american_scientific_journal-1841	101	80	the	the	DET
american_scientific_journal-1841	101	81	big	big	PROPN
american_scientific_journal-1841	101	82	bang	bang	PROPN
american_scientific_journal-1841	101	83	.	.	PUNCT
american_scientific_journal-1841	102	1	from	from	ADP
american_scientific_journal-1841	102	2	(	(	PUNCT
american_scientific_journal-1841	102	3	5.4	5.4	NUM
american_scientific_journal-1841	102	4	)	)	PUNCT
american_scientific_journal-1841	102	5	we	we	PRON
american_scientific_journal-1841	102	6	have	have	VERB
american_scientific_journal-1841	102	7	�	�	PROPN
american_scientific_journal-1841	102	8	̇	̇	VERB
american_scientific_journal-1841	102	9	�	�	PROPN
american_scientific_journal-1841	102	10	𝑅	𝑅	PROPN
american_scientific_journal-1841	102	11	=	=	PROPN
american_scientific_journal-1841	102	12	3𝑏𝑏𝑏𝑏	3𝑏𝑏𝑏𝑏	PROPN
american_scientific_journal-1841	102	13	cos2𝑏𝑏𝑑𝑑	cos2𝑏𝑏𝑑𝑑	ADJ
american_scientific_journal-1841	102	14	sin𝑏𝑏𝑑𝑑	sin𝑏𝑏𝑑𝑑	ADJ
american_scientific_journal-1841	102	15	2	2	NUM
american_scientific_journal-1841	102	16	�	�	SYM
american_scientific_journal-1841	102	17	1−cos3ωt	1−cos3ωt	PROPN
american_scientific_journal-1841	102	18	(	(	PUNCT
american_scientific_journal-1841	102	19	6.2	6.2	NUM
american_scientific_journal-1841	102	20	)	)	PUNCT
american_scientific_journal-1841	102	21	�	�	PROPN
american_scientific_journal-1841	102	22	̈	̈	X
american_scientific_journal-1841	102	23	�	�	PROPN
american_scientific_journal-1841	102	24	𝑅	𝑅	PROPN
american_scientific_journal-1841	102	25	=	=	PROPN
american_scientific_journal-1841	102	26	�	�	PROPN
american_scientific_journal-1841	102	27	3𝑏𝑏𝑏𝑏	3𝑏𝑏𝑏𝑏	NUM
american_scientific_journal-1841	102	28	2	2	NUM
american_scientific_journal-1841	102	29	2	2	NUM
american_scientific_journal-1841	102	30	�	�	PROPN
american_scientific_journal-1841	102	31	�	�	PROPN
american_scientific_journal-1841	102	32	−3	−3	PROPN
american_scientific_journal-1841	102	33	cos6𝑏𝑏𝑑𝑑+cos4𝑏𝑏𝑑𝑑+6cos3𝑏𝑏𝑑𝑑−4	cos6𝑏𝑏𝑑𝑑+cos4𝑏𝑏𝑑𝑑+6cos3𝑏𝑏𝑑𝑑−4	PROPN
american_scientific_journal-1841	102	34	cos𝑏𝑏𝑑𝑑	cos𝑏𝑏𝑑𝑑	ADJ
american_scientific_journal-1841	102	35	2(1−cos3	2(1−cos3	NUM
american_scientific_journal-1841	102	36	𝑏𝑏𝑑𝑑)3/2	𝑏𝑏𝑑𝑑)3/2	PROPN
american_scientific_journal-1841	102	37	�	�	PROPN
american_scientific_journal-1841	102	38	(	(	PUNCT
american_scientific_journal-1841	102	39	6.3	6.3	NUM
american_scientific_journal-1841	102	40	)	)	PUNCT
american_scientific_journal-1841	102	41	cos𝜔𝜔𝜔𝜔	cos𝜔𝜔𝜔𝜔	NOUN
american_scientific_journal-1841	103	1	=	=	SYM
american_scientific_journal-1841	103	2	0	0	NUM
american_scientific_journal-1841	103	3	,	,	PUNCT
american_scientific_journal-1841	103	4	is	be	AUX
american_scientific_journal-1841	103	5	a	a	DET
american_scientific_journal-1841	103	6	solution	solution	NOUN
american_scientific_journal-1841	103	7	of	of	ADP
american_scientific_journal-1841	103	8	�	�	PROPN
american_scientific_journal-1841	103	9	̈	̈	X
american_scientific_journal-1841	103	10	�	�	NOUN
american_scientific_journal-1841	103	11	𝑅	𝑅	NOUN
american_scientific_journal-1841	103	12	=	=	NOUN
american_scientific_journal-1841	103	13	0	0	NUM
american_scientific_journal-1841	103	14	,	,	PUNCT
american_scientific_journal-1841	103	15	and	and	CCONJ
american_scientific_journal-1841	103	16	it	it	PRON
american_scientific_journal-1841	103	17	is	be	AUX
american_scientific_journal-1841	103	18	clear	clear	ADJ
american_scientific_journal-1841	103	19	that	that	SCONJ
american_scientific_journal-1841	103	20	when	when	SCONJ
american_scientific_journal-1841	103	21	cos𝜔𝜔𝜔𝜔	cos𝜔𝜔𝜔𝜔	ADJ
american_scientific_journal-1841	103	22	=	=	SYM
american_scientific_journal-1841	103	23	0	0	NUM
american_scientific_journal-1841	103	24	,	,	PUNCT
american_scientific_journal-1841	103	25	�	�	PROPN
american_scientific_journal-1841	103	26	̇	̇	PROPN
american_scientific_journal-1841	103	27	�	�	PROPN
american_scientific_journal-1841	103	28	𝑅	𝑅	NOUN
american_scientific_journal-1841	103	29	=	=	NOUN
american_scientific_journal-1841	103	30	0	0	NUM
american_scientific_journal-1841	103	31	,	,	PUNCT
american_scientific_journal-1841	103	32	making	make	VERB
american_scientific_journal-1841	103	33	values	value	NOUN
american_scientific_journal-1841	103	34	of	of	ADP
american_scientific_journal-1841	103	35	t	t	PROPN
american_scientific_journal-1841	103	36	corresponding	correspond	VERB
american_scientific_journal-1841	103	37	to	to	PART
american_scientific_journal-1841	103	38	cos𝜔𝜔𝜔𝜔	cos𝜔𝜔𝜔𝜔	VERB
american_scientific_journal-1841	103	39	=	=	PUNCT
american_scientific_journal-1841	103	40	0points	0point	NOUN
american_scientific_journal-1841	103	41	of	of	ADP
american_scientific_journal-1841	103	42	inflection	inflection	NOUN
american_scientific_journal-1841	103	43	for	for	ADP
american_scientific_journal-1841	103	44	𝑅𝑅as	𝑅𝑅as	PROPN
american_scientific_journal-1841	103	45	a	a	DET
american_scientific_journal-1841	103	46	function	function	NOUN
american_scientific_journal-1841	103	47	of	of	ADP
american_scientific_journal-1841	103	48	𝜔𝜔.	𝜔𝜔.	NOUN
american_scientific_journal-1841	103	49	cos𝜔𝜔𝜔𝜔	cos𝜔𝜔𝜔𝜔	ADJ
american_scientific_journal-1841	103	50	=	=	SYM
american_scientific_journal-1841	103	51	0	0	NUM
american_scientific_journal-1841	103	52	implies	imply	VERB
american_scientific_journal-1841	103	53	𝜔𝜔𝜔𝜔	𝜔𝜔𝜔𝜔	VERB
american_scientific_journal-1841	103	54	=	=	PUNCT
american_scientific_journal-1841	103	55	𝜋𝜋	𝜋𝜋	ADP
american_scientific_journal-1841	103	56	2	2	NUM
american_scientific_journal-1841	103	57	(	(	PUNCT
american_scientific_journal-1841	103	58	0	0	NUM
american_scientific_journal-1841	103	59	<	<	X
american_scientific_journal-1841	103	60	𝜔𝜔𝜔𝜔	𝜔𝜔𝜔𝜔	VERB
american_scientific_journal-1841	103	61	<	<	X
american_scientific_journal-1841	103	62	𝜋𝜋	𝜋𝜋	NOUN
american_scientific_journal-1841	103	63	)	)	PUNCT
american_scientific_journal-1841	103	64	.	.	PUNCT
american_scientific_journal-1841	104	1	let	let	VERB
american_scientific_journal-1841	104	2	𝑅𝑅𝑎𝑎	𝑅𝑅𝑎𝑎	NOUN
american_scientific_journal-1841	104	3	be	be	AUX
american_scientific_journal-1841	104	4	the	the	DET
american_scientific_journal-1841	104	5	value	value	NOUN
american_scientific_journal-1841	104	6	of	of	ADP
american_scientific_journal-1841	104	7	𝑅𝑅	𝑅𝑅	PROPN
american_scientific_journal-1841	104	8	at	at	ADP
american_scientific_journal-1841	104	9	the	the	DET
american_scientific_journal-1841	104	10	point	point	NOUN
american_scientific_journal-1841	104	11	of	of	ADP
american_scientific_journal-1841	104	12	inflection	inflection	NOUN
american_scientific_journal-1841	104	13	,	,	PUNCT
american_scientific_journal-1841	104	14	which	which	PRON
american_scientific_journal-1841	104	15	is	be	AUX
american_scientific_journal-1841	104	16	the	the	DET
american_scientific_journal-1841	104	17	point	point	NOUN
american_scientific_journal-1841	104	18	at	at	ADP
american_scientific_journal-1841	104	19	which	which	PRON
american_scientific_journal-1841	104	20	acceleration	acceleration	NOUN
american_scientific_journal-1841	104	21	of	of	ADP
american_scientific_journal-1841	104	22	the	the	DET
american_scientific_journal-1841	104	23	universe	universe	NOUN
american_scientific_journal-1841	104	24	begins	begin	VERB
american_scientific_journal-1841	104	25	after	after	ADP
american_scientific_journal-1841	104	26	a	a	DET
american_scientific_journal-1841	104	27	phase	phase	NOUN
american_scientific_journal-1841	104	28	of	of	ADP
american_scientific_journal-1841	104	29	deceleration	deceleration	NOUN
american_scientific_journal-1841	104	30	.	.	PUNCT
american_scientific_journal-1841	105	1	then𝑅𝑅𝑎𝑎	then𝑅𝑅𝑎𝑎	NOUN
american_scientific_journal-1841	105	2	=	=	SYM
american_scientific_journal-1841	105	3	𝑏𝑏	𝑏𝑏	NUM
american_scientific_journal-1841	105	4	�	�	PROPN
american_scientific_journal-1841	105	5	(1	(1	PUNCT
american_scientific_journal-1841	105	6	−	−	PROPN
american_scientific_journal-1841	105	7	cos3	cos3	PROPN
american_scientific_journal-1841	105	8	π	π	PROPN
american_scientific_journal-1841	105	9	2	2	X
american_scientific_journal-1841	105	10	)	)	PUNCT
american_scientific_journal-1841	106	1	=	=	NOUN
american_scientific_journal-1841	106	2	𝑏𝑏	𝑏𝑏	NOUN
american_scientific_journal-1841	106	3	writing	write	VERB
american_scientific_journal-1841	106	4	𝜅𝜅	𝜅𝜅	ADJ
american_scientific_journal-1841	106	5	=	=	SYM
american_scientific_journal-1841	106	6	cos𝜔𝜔𝜔𝜔0	cos𝜔𝜔𝜔𝜔0	NOUN
american_scientific_journal-1841	106	7	,	,	PUNCT
american_scientific_journal-1841	106	8	and	and	CCONJ
american_scientific_journal-1841	106	9	substituting	substitute	VERB
american_scientific_journal-1841	106	10	(	(	PUNCT
american_scientific_journal-1841	106	11	6.1	6.1	NUM
american_scientific_journal-1841	106	12	)	)	PUNCT
american_scientific_journal-1841	106	13	,	,	PUNCT
american_scientific_journal-1841	106	14	(	(	PUNCT
american_scientific_journal-1841	106	15	6.2	6.2	NUM
american_scientific_journal-1841	106	16	)	)	PUNCT
american_scientific_journal-1841	106	17	and	and	CCONJ
american_scientific_journal-1841	106	18	(	(	PUNCT
american_scientific_journal-1841	106	19	6.3	6.3	NUM
american_scientific_journal-1841	106	20	)	)	PUNCT
american_scientific_journal-1841	106	21	in	in	ADP
american_scientific_journal-1841	106	22	the	the	DET
american_scientific_journal-1841	106	23	equation	equation	NOUN
american_scientific_journal-1841	106	24	(	(	PUNCT
american_scientific_journal-1841	106	25	5.3	5.3	NUM
american_scientific_journal-1841	106	26	)	)	PUNCT
american_scientific_journal-1841	106	27	with	with	ADP
american_scientific_journal-1841	106	28	n	n	NOUN
american_scientific_journal-1841	106	29	=	=	SYM
american_scientific_journal-1841	106	30	7	7	NUM
american_scientific_journal-1841	106	31	3	3	NUM
american_scientific_journal-1841	106	32	for	for	ADP
american_scientific_journal-1841	106	33	the	the	DET
american_scientific_journal-1841	106	34	present	present	ADJ
american_scientific_journal-1841	106	35	epoch	epoch	NOUN
american_scientific_journal-1841	106	36	𝜔𝜔0and	𝜔𝜔0and	PROPN
american_scientific_journal-1841	106	37	rearranging	rearrange	VERB
american_scientific_journal-1841	106	38	the	the	DET
american_scientific_journal-1841	106	39	terms	term	NOUN
american_scientific_journal-1841	106	40	we	we	PRON
american_scientific_journal-1841	106	41	have	have	VERB
american_scientific_journal-1841	106	42	the	the	DET
american_scientific_journal-1841	106	43	following	follow	VERB
american_scientific_journal-1841	106	44	expression	expression	NOUN
american_scientific_journal-1841	106	45	for	for	ADP
american_scientific_journal-1841	106	46	the	the	DET
american_scientific_journal-1841	106	47	unknown	unknown	ADJ
american_scientific_journal-1841	106	48	𝑏𝑏	𝑏𝑏	NOUN
american_scientific_journal-1841	106	49	,	,	PUNCT
american_scientific_journal-1841	106	50	in	in	ADP
american_scientific_journal-1841	106	51	terms	term	NOUN
american_scientific_journal-1841	106	52	of	of	ADP
american_scientific_journal-1841	106	53	𝜔𝜔and𝜔𝜔0	𝜔𝜔and𝜔𝜔0	PROPN
american_scientific_journal-1841	106	54	.	.	PUNCT
american_scientific_journal-1841	107	1	𝑏𝑏2	𝑏𝑏2	PROPN
american_scientific_journal-1841	107	2	=	=	PUNCT
american_scientific_journal-1841	107	3	�	�	PROPN
american_scientific_journal-1841	107	4	𝑐𝑐	𝑐𝑐	NOUN
american_scientific_journal-1841	107	5	2	2	NUM
american_scientific_journal-1841	107	6	𝑏𝑏2	𝑏𝑏2	PROPN
american_scientific_journal-1841	107	7	�	�	PROPN
american_scientific_journal-1841	107	8	44	44	NUM
american_scientific_journal-1841	107	9	�	�	PROPN
american_scientific_journal-1841	107	10	1−𝑇𝑇3	1−𝑇𝑇3	NUM
american_scientific_journal-1841	107	11	�	�	PROPN
american_scientific_journal-1841	107	12	(	(	PUNCT
american_scientific_journal-1841	107	13	−81𝑇𝑇6−39𝑇𝑇4	−81𝑇𝑇6−39𝑇𝑇4	PROPN
american_scientific_journal-1841	107	14	+	+	PROPN
american_scientific_journal-1841	107	15	360𝑇𝑇3−240𝑇𝑇	360𝑇𝑇3−240𝑇𝑇	NUM
american_scientific_journal-1841	107	16	)	)	PUNCT
american_scientific_journal-1841	107	17	(	(	PUNCT
american_scientific_journal-1841	107	18	6.4	6.4	NUM
american_scientific_journal-1841	107	19	)	)	PUNCT
american_scientific_journal-1841	107	20	american	american	ADJ
american_scientific_journal-1841	107	21	scientific	scientific	ADJ
american_scientific_journal-1841	107	22	research	research	NOUN
american_scientific_journal-1841	107	23	journal	journal	NOUN
american_scientific_journal-1841	107	24	for	for	ADP
american_scientific_journal-1841	107	25	engineering	engineering	NOUN
american_scientific_journal-1841	107	26	,	,	PUNCT
american_scientific_journal-1841	107	27	technology	technology	NOUN
american_scientific_journal-1841	107	28	,	,	PUNCT
american_scientific_journal-1841	107	29	and	and	CCONJ
american_scientific_journal-1841	107	30	sciences	science	NOUN
american_scientific_journal-1841	107	31	(	(	PUNCT
american_scientific_journal-1841	107	32	asrjets	asrjet	NOUN
american_scientific_journal-1841	107	33	)	)	PUNCT
american_scientific_journal-1841	107	34	(	(	PUNCT
american_scientific_journal-1841	107	35	2016	2016	NUM
american_scientific_journal-1841	107	36	)	)	PUNCT
american_scientific_journal-1841	107	37	volume	volume	NOUN
american_scientific_journal-1841	107	38	22	22	NUM
american_scientific_journal-1841	107	39	,	,	PUNCT
american_scientific_journal-1841	107	40	no	no	DET
american_scientific_journal-1841	107	41	1	1	NUM
american_scientific_journal-1841	107	42	,	,	PUNCT
american_scientific_journal-1841	107	43	pp	pp	ADV
american_scientific_journal-1841	107	44	184	184	NUM
american_scientific_journal-1841	107	45	-	-	SYM
american_scientific_journal-1841	107	46	194	194	NUM
american_scientific_journal-1841	107	47	191	191	NUM
american_scientific_journal-1841	107	48	taking	take	VERB
american_scientific_journal-1841	107	49	the	the	DET
american_scientific_journal-1841	107	50	redshift	redshift	NOUN
american_scientific_journal-1841	107	51	at	at	ADP
american_scientific_journal-1841	107	52	the	the	DET
american_scientific_journal-1841	107	53	onset	onset	NOUN
american_scientific_journal-1841	107	54	of	of	ADP
american_scientific_journal-1841	107	55	acceleration	acceleration	NOUN
american_scientific_journal-1841	107	56	as	as	ADP
american_scientific_journal-1841	107	57	1.4	1.4	NUM
american_scientific_journal-1841	107	58	we	we	PRON
american_scientific_journal-1841	107	59	have	have	VERB
american_scientific_journal-1841	107	60	𝑅𝑅𝑜𝑜	𝑅𝑅𝑜𝑜	NOUN
american_scientific_journal-1841	107	61	𝑅𝑅𝑎𝑎	𝑅𝑅𝑎𝑎	NOUN
american_scientific_journal-1841	107	62	=	=	NUM
american_scientific_journal-1841	107	63	1.4	1.4	NUM
american_scientific_journal-1841	107	64	,	,	PUNCT
american_scientific_journal-1841	107	65	which	which	PRON
american_scientific_journal-1841	107	66	givescos𝜔𝜔𝜔𝜔0	givescos𝜔𝜔𝜔𝜔0	NOUN
american_scientific_journal-1841	108	1	=	=	PUNCT
american_scientific_journal-1841	108	2	−	−	NOUN
american_scientific_journal-1841	108	3	0.9864	0.9864	NUM
american_scientific_journal-1841	108	4	,	,	PUNCT
american_scientific_journal-1841	108	5	and	and	CCONJ
american_scientific_journal-1841	108	6	hence	hence	ADV
american_scientific_journal-1841	108	7	𝜔𝜔𝜔𝜔0	𝜔𝜔𝜔𝜔0	VERB
american_scientific_journal-1841	108	8	=	=	SYM
american_scientific_journal-1841	108	9	2.96	2.96	NUM
american_scientific_journal-1841	108	10	𝑟𝑟𝑦𝑦𝑑𝑑	𝑟𝑟𝑦𝑦𝑑𝑑	NOUN
american_scientific_journal-1841	108	11	.	.	PUNCT
american_scientific_journal-1841	109	1	as	as	ADP
american_scientific_journal-1841	109	2	𝜔𝜔0	𝜔𝜔0	PROPN
american_scientific_journal-1841	109	3	=	=	SYM
american_scientific_journal-1841	109	4	4.26	4.26	NUM
american_scientific_journal-1841	109	5	×	×	NOUN
american_scientific_journal-1841	109	6	1017𝑠𝑠	1017𝑠𝑠	NUM
american_scientific_journal-1841	109	7	,	,	PUNCT
american_scientific_journal-1841	109	8	we	we	PRON
american_scientific_journal-1841	109	9	have	have	VERB
american_scientific_journal-1841	109	10	𝜔𝜔	𝜔𝜔	ADP
american_scientific_journal-1841	109	11	=	=	SYM
american_scientific_journal-1841	109	12	6.94	6.94	NUM
american_scientific_journal-1841	109	13	×	×	PROPN
american_scientific_journal-1841	109	14	10−18𝑟𝑟𝑦𝑦𝑑𝑑𝑠𝑠−1	10−18𝑟𝑟𝑦𝑦𝑑𝑑𝑠𝑠−1	NUM
american_scientific_journal-1841	109	15	.	.	PUNCT
american_scientific_journal-1841	110	1	however	however	ADV
american_scientific_journal-1841	110	2	,	,	PUNCT
american_scientific_journal-1841	110	3	this	this	PRON
american_scientific_journal-1841	110	4	leads	lead	VERB
american_scientific_journal-1841	110	5	to	to	ADP
american_scientific_journal-1841	110	6	negative	negative	ADJ
american_scientific_journal-1841	110	7	values	value	NOUN
american_scientific_journal-1841	110	8	of	of	ADP
american_scientific_journal-1841	110	9	𝜌𝜌for	𝜌𝜌for	ADP
american_scientific_journal-1841	110	10	certain	certain	ADJ
american_scientific_journal-1841	110	11	values	value	NOUN
american_scientific_journal-1841	110	12	of	of	ADP
american_scientific_journal-1841	110	13	t	t	PROPN
american_scientific_journal-1841	110	14	,	,	PUNCT
american_scientific_journal-1841	110	15	and	and	CCONJ
american_scientific_journal-1841	110	16	we	we	PRON
american_scientific_journal-1841	110	17	have	have	VERB
american_scientific_journal-1841	110	18	to	to	PART
american_scientific_journal-1841	110	19	discard	discard	VERB
american_scientific_journal-1841	110	20	this	this	DET
american_scientific_journal-1841	110	21	value	value	NOUN
american_scientific_journal-1841	110	22	.	.	PUNCT
american_scientific_journal-1841	111	1	in	in	ADP
american_scientific_journal-1841	111	2	order	order	NOUN
american_scientific_journal-1841	111	3	to	to	PART
american_scientific_journal-1841	111	4	obtain	obtain	VERB
american_scientific_journal-1841	111	5	positive	positive	ADJ
american_scientific_journal-1841	111	6	values	value	NOUN
american_scientific_journal-1841	111	7	for	for	ADP
american_scientific_journal-1841	111	8	𝜌𝜌	𝜌𝜌	NOUN
american_scientific_journal-1841	111	9	for	for	ADP
american_scientific_journal-1841	111	10	all	all	DET
american_scientific_journal-1841	111	11	time	time	NOUN
american_scientific_journal-1841	111	12	t	t	NOUN
american_scientific_journal-1841	111	13	we	we	PRON
american_scientific_journal-1841	111	14	take	take	VERB
american_scientific_journal-1841	111	15	the	the	DET
american_scientific_journal-1841	111	16	value	value	NOUN
american_scientific_journal-1841	111	17	𝜔𝜔	𝜔𝜔	ADP
american_scientific_journal-1841	111	18	=	=	SYM
american_scientific_journal-1841	111	19	5.32	5.32	NUM
american_scientific_journal-1841	111	20	×	×	NOUN
american_scientific_journal-1841	111	21	10−18𝑟𝑟𝑦𝑦𝑑𝑑𝑠𝑠−1	10−18𝑟𝑟𝑦𝑦𝑑𝑑𝑠𝑠−1	NUM
american_scientific_journal-1841	111	22	which	which	PRON
american_scientific_journal-1841	111	23	gives	give	VERB
american_scientific_journal-1841	111	24	b	b	NOUN
american_scientific_journal-1841	111	25	=	=	SYM
american_scientific_journal-1841	111	26	6.14	6.14	NUM
american_scientific_journal-1841	111	27	×	×	NOUN
american_scientific_journal-1841	111	28	1027	1027	NUM
american_scientific_journal-1841	111	29	cm	cm	NOUN
american_scientific_journal-1841	111	30	,	,	PUNCT
american_scientific_journal-1841	111	31	corresponding	correspond	VERB
american_scientific_journal-1841	111	32	to	to	ADP
american_scientific_journal-1841	111	33	a	a	DET
american_scientific_journal-1841	111	34	redshift	redshift	NOUN
american_scientific_journal-1841	111	35	of	of	ADP
american_scientific_journal-1841	111	36	1.26	1.26	NUM
american_scientific_journal-1841	111	37	,	,	PUNCT
american_scientific_journal-1841	111	38	at	at	ADP
american_scientific_journal-1841	111	39	the	the	DET
american_scientific_journal-1841	111	40	onset	onset	NOUN
american_scientific_journal-1841	111	41	of	of	ADP
american_scientific_journal-1841	111	42	acceleration	acceleration	NOUN
american_scientific_journal-1841	111	43	.	.	PUNCT
american_scientific_journal-1841	112	1	the	the	DET
american_scientific_journal-1841	112	2	density	density	NOUN
american_scientific_journal-1841	112	3	of	of	ADP
american_scientific_journal-1841	112	4	the	the	DET
american_scientific_journal-1841	112	5	universe	universe	NOUN
american_scientific_journal-1841	112	6	at	at	ADP
american_scientific_journal-1841	112	7	the	the	DET
american_scientific_journal-1841	112	8	present	present	ADJ
american_scientific_journal-1841	112	9	epoch	epoch	NOUN
american_scientific_journal-1841	112	10	is	be	AUX
american_scientific_journal-1841	112	11	1.22	1.22	NUM
american_scientific_journal-1841	112	12	×	×	NOUN
american_scientific_journal-1841	112	13	10−29	10−29	PROPN
american_scientific_journal-1841	112	14	𝑔𝑔.	𝑔𝑔.	NOUN
american_scientific_journal-1841	112	15	𝑐𝑐𝑐𝑐−3	𝑐𝑐𝑐𝑐−3	NOUN
american_scientific_journal-1841	112	16	agreeing	agree	VERB
american_scientific_journal-1841	112	17	with	with	ADP
american_scientific_journal-1841	112	18	the	the	DET
american_scientific_journal-1841	112	19	observations	observation	NOUN
american_scientific_journal-1841	112	20	as	as	SCONJ
american_scientific_journal-1841	112	21	stated	state	VERB
american_scientific_journal-1841	112	22	under	under	ADP
american_scientific_journal-1841	112	23	boundary	boundary	ADJ
american_scientific_journal-1841	112	24	condition	condition	NOUN
american_scientific_journal-1841	112	25	(	(	PUNCT
american_scientific_journal-1841	112	26	iv	iv	NUM
american_scientific_journal-1841	112	27	)	)	PUNCT
american_scientific_journal-1841	112	28	.	.	PUNCT
american_scientific_journal-1841	113	1	from	from	ADP
american_scientific_journal-1841	113	2	𝑅𝑅	𝑅𝑅	PROPN
american_scientific_journal-1841	113	3	=	=	PUNCT
american_scientific_journal-1841	113	4	𝑏𝑏	𝑏𝑏	NUM
american_scientific_journal-1841	113	5	�	�	PROPN
american_scientific_journal-1841	113	6	(1	(1	NUM
american_scientific_journal-1841	113	7	−	−	PROPN
american_scientific_journal-1841	113	8	cos3𝜔𝜔𝜔𝜔	cos3𝜔𝜔𝜔𝜔	PROPN
american_scientific_journal-1841	113	9	)	)	PUNCT
american_scientific_journal-1841	113	10	,	,	PUNCT
american_scientific_journal-1841	113	11	we	we	PRON
american_scientific_journal-1841	113	12	find	find	VERB
american_scientific_journal-1841	113	13	that	that	SCONJ
american_scientific_journal-1841	113	14	𝑑𝑑𝑅𝑅	𝑑𝑑𝑅𝑅	NOUN
american_scientific_journal-1841	113	15	𝑑𝑑𝑑𝑑	𝑑𝑑𝑑𝑑	NOUN
american_scientific_journal-1841	113	16	as𝜔𝜔	as𝜔𝜔	PROPN
american_scientific_journal-1841	113	17	tends	tend	VERB
american_scientific_journal-1841	113	18	to	to	ADP
american_scientific_journal-1841	113	19	zero	zero	NUM
american_scientific_journal-1841	113	20	is	be	AUX
american_scientific_journal-1841	113	21	�	�	PROPN
american_scientific_journal-1841	113	22	3	3	NUM
american_scientific_journal-1841	113	23	2	2	NUM
american_scientific_journal-1841	113	24	𝑏𝑏𝜔𝜔	𝑏𝑏𝜔𝜔	NOUN
american_scientific_journal-1841	113	25	,	,	PUNCT
american_scientific_journal-1841	113	26	which	which	PRON
american_scientific_journal-1841	113	27	is	be	AUX
american_scientific_journal-1841	113	28	of	of	ADP
american_scientific_journal-1841	113	29	the	the	DET
american_scientific_journal-1841	113	30	order	order	NOUN
american_scientific_journal-1841	113	31	of	of	ADP
american_scientific_journal-1841	113	32	the	the	DET
american_scientific_journal-1841	113	33	velocity	velocity	NOUN
american_scientific_journal-1841	113	34	of	of	ADP
american_scientific_journal-1841	113	35	light	light	NOUN
american_scientific_journal-1841	113	36	for	for	ADP
american_scientific_journal-1841	113	37	the	the	DET
american_scientific_journal-1841	113	38	stated	state	VERB
american_scientific_journal-1841	113	39	values	value	NOUN
american_scientific_journal-1841	113	40	.	.	PUNCT
american_scientific_journal-1841	114	1	an	an	DET
american_scientific_journal-1841	114	2	interesting	interesting	ADJ
american_scientific_journal-1841	114	3	feature	feature	NOUN
american_scientific_journal-1841	114	4	is	be	AUX
american_scientific_journal-1841	114	5	that	that	SCONJ
american_scientific_journal-1841	114	6	𝛬𝛬′decreases	𝛬𝛬′decrease	VERB
american_scientific_journal-1841	114	7	from	from	ADP
american_scientific_journal-1841	114	8	very	very	ADV
american_scientific_journal-1841	114	9	high	high	ADJ
american_scientific_journal-1841	114	10	values	value	NOUN
american_scientific_journal-1841	114	11	at	at	ADP
american_scientific_journal-1841	114	12	t	t	PROPN
american_scientific_journal-1841	114	13	=	=	SYM
american_scientific_journal-1841	114	14	0	0	NUM
american_scientific_journal-1841	114	15	to	to	ADP
american_scientific_journal-1841	114	16	zero	zero	NUM
american_scientific_journal-1841	114	17	at	at	ADP
american_scientific_journal-1841	114	18	𝜔𝜔	𝜔𝜔	ADP
american_scientific_journal-1841	114	19	=	=	SYM
american_scientific_journal-1841	114	20	1.5	1.5	NUM
american_scientific_journal-1841	114	21	×	×	NOUN
american_scientific_journal-1841	114	22	1017	1017	NUM
american_scientific_journal-1841	114	23	s	s	NOUN
american_scientific_journal-1841	114	24	,	,	PUNCT
american_scientific_journal-1841	114	25	and	and	CCONJ
american_scientific_journal-1841	114	26	is	be	AUX
american_scientific_journal-1841	114	27	negative	negative	ADJ
american_scientific_journal-1841	114	28	till	till	SCONJ
american_scientific_journal-1841	114	29	𝜔𝜔	𝜔𝜔	ADP
american_scientific_journal-1841	114	30	=	=	SYM
american_scientific_journal-1841	114	31	1.02	1.02	NUM
american_scientific_journal-1841	114	32	×	×	NOUN
american_scientific_journal-1841	114	33	1018	1018	NUM
american_scientific_journal-1841	114	34	s	s	AUX
american_scientific_journal-1841	114	35	becoming	become	VERB
american_scientific_journal-1841	114	36	negative	negative	ADJ
american_scientific_journal-1841	114	37	again	again	ADV
american_scientific_journal-1841	114	38	at	at	ADP
american_scientific_journal-1841	114	39	𝜔𝜔	𝜔𝜔	ADP
american_scientific_journal-1841	114	40	=	=	SYM
american_scientific_journal-1841	114	41	1.35	1.35	NUM
american_scientific_journal-1841	114	42	×	×	NOUN
american_scientific_journal-1841	114	43	1018	1018	NUM
american_scientific_journal-1841	114	44	s.	s.	PROPN
american_scientific_journal-1841	114	45	the	the	DET
american_scientific_journal-1841	114	46	significance	significance	NOUN
american_scientific_journal-1841	114	47	of	of	ADP
american_scientific_journal-1841	114	48	negative	negative	ADJ
american_scientific_journal-1841	114	49	values	value	NOUN
american_scientific_journal-1841	114	50	of	of	ADP
american_scientific_journal-1841	114	51	𝛬𝛬′	𝛬𝛬′	NOUN
american_scientific_journal-1841	114	52	will	will	AUX
american_scientific_journal-1841	114	53	be	be	AUX
american_scientific_journal-1841	114	54	discussed	discuss	VERB
american_scientific_journal-1841	114	55	under	under	ADP
american_scientific_journal-1841	114	56	dark	dark	ADJ
american_scientific_journal-1841	114	57	matter	matter	NOUN
american_scientific_journal-1841	114	58	in	in	ADP
american_scientific_journal-1841	114	59	the	the	DET
american_scientific_journal-1841	114	60	next	next	ADJ
american_scientific_journal-1841	114	61	section	section	NOUN
american_scientific_journal-1841	114	62	.	.	PUNCT
american_scientific_journal-1841	115	1	6	6	X
american_scientific_journal-1841	115	2	.	.	X
american_scientific_journal-1841	115	3	schwarzschild	schwarzschild	NOUN
american_scientific_journal-1841	115	4	–	–	PUNCT
american_scientific_journal-1841	115	5	de	de	X
american_scientific_journal-1841	115	6	sitter	sitter	NOUN
american_scientific_journal-1841	115	7	metric	metric	NOUN
american_scientific_journal-1841	115	8	with	with	ADP
american_scientific_journal-1841	115	9	𝜦𝜦	𝜦𝜦	NOUN
american_scientific_journal-1841	115	10	it	it	PRON
american_scientific_journal-1841	115	11	is	be	AUX
american_scientific_journal-1841	115	12	not	not	PART
american_scientific_journal-1841	115	13	only	only	ADV
american_scientific_journal-1841	115	14	dark	dark	ADJ
american_scientific_journal-1841	115	15	energy	energy	NOUN
american_scientific_journal-1841	115	16	that	that	PRON
american_scientific_journal-1841	115	17	could	could	AUX
american_scientific_journal-1841	115	18	be	be	AUX
american_scientific_journal-1841	115	19	represented	represent	VERB
american_scientific_journal-1841	115	20	by	by	ADP
american_scientific_journal-1841	115	21	𝛬𝛬.	𝛬𝛬.	PUNCT
american_scientific_journal-1841	115	22	we	we	PRON
american_scientific_journal-1841	115	23	may	may	AUX
american_scientific_journal-1841	115	24	identify	identify	VERB
american_scientific_journal-1841	115	25	𝛬𝛬as	𝛬𝛬as	ADV
american_scientific_journal-1841	115	26	representing	represent	VERB
american_scientific_journal-1841	115	27	dark	dark	ADJ
american_scientific_journal-1841	115	28	matter	matter	NOUN
american_scientific_journal-1841	115	29	(	(	PUNCT
american_scientific_journal-1841	115	30	see	see	VERB
american_scientific_journal-1841	115	31	for	for	ADP
american_scientific_journal-1841	115	32	example	example	NOUN
american_scientific_journal-1841	115	33	trimble	trimble	ADJ
american_scientific_journal-1841	116	1	[	[	X
american_scientific_journal-1841	116	2	12	12	NUM
american_scientific_journal-1841	116	3	]	]	PUNCT
american_scientific_journal-1841	116	4	)	)	PUNCT
american_scientific_journal-1841	116	5	as	as	ADV
american_scientific_journal-1841	116	6	well	well	ADV
american_scientific_journal-1841	116	7	.	.	PUNCT
american_scientific_journal-1841	117	1	we	we	PRON
american_scientific_journal-1841	117	2	write	write	VERB
american_scientific_journal-1841	117	3	down	down	ADP
american_scientific_journal-1841	117	4	the	the	DET
american_scientific_journal-1841	117	5	field	field	NOUN
american_scientific_journal-1841	117	6	equations	equation	NOUN
american_scientific_journal-1841	117	7	in	in	ADP
american_scientific_journal-1841	117	8	the	the	DET
american_scientific_journal-1841	117	9	absence	absence	NOUN
american_scientific_journal-1841	117	10	of	of	ADP
american_scientific_journal-1841	117	11	ordinary	ordinary	ADJ
american_scientific_journal-1841	117	12	matter	matter	NOUN
american_scientific_journal-1841	117	13	and	and	CCONJ
american_scientific_journal-1841	117	14	radiation	radiation	NOUN
american_scientific_journal-1841	117	15	,	,	PUNCT
american_scientific_journal-1841	117	16	in	in	ADP
american_scientific_journal-1841	117	17	the	the	DET
american_scientific_journal-1841	117	18	form	form	NOUN
american_scientific_journal-1841	117	19	𝑅𝑅𝜇𝜇𝜇𝜇	𝑅𝑅𝜇𝜇𝜇𝜇	PROPN
american_scientific_journal-1841	117	20	−	−	NUM
american_scientific_journal-1841	117	21	1	1	NUM
american_scientific_journal-1841	117	22	2	2	NUM
american_scientific_journal-1841	117	23	𝑅𝑅	𝑅𝑅	PROPN
american_scientific_journal-1841	117	24	�	�	PROPN
american_scientific_journal-1841	117	25	𝑔𝑔𝜇𝜇𝜇𝜇	𝑔𝑔𝜇𝜇𝜇𝜇	NOUN
american_scientific_journal-1841	117	26	=	=	SYM
american_scientific_journal-1841	117	27	−𝛬𝛬𝑔𝑔𝜇𝜇𝜇𝜇	−𝛬𝛬𝑔𝑔𝜇𝜇𝜇𝜇	PROPN
american_scientific_journal-1841	117	28	(	(	PUNCT
american_scientific_journal-1841	117	29	6.1	6.1	NUM
american_scientific_journal-1841	117	30	)	)	PUNCT
american_scientific_journal-1841	117	31	and	and	CCONJ
american_scientific_journal-1841	117	32	write	write	VERB
american_scientific_journal-1841	117	33	the	the	DET
american_scientific_journal-1841	117	34	schwarzschild	schwarzschild	NOUN
american_scientific_journal-1841	117	35	metric	metric	NOUN
american_scientific_journal-1841	117	36	in	in	ADP
american_scientific_journal-1841	117	37	the	the	DET
american_scientific_journal-1841	117	38	form	form	NOUN
american_scientific_journal-1841	117	39	𝑑𝑑𝑠𝑠2	𝑑𝑑𝑠𝑠2	PUNCT
american_scientific_journal-1841	118	1	=	=	SYM
american_scientific_journal-1841	119	1	(	(	PUNCT
american_scientific_journal-1841	119	2	1	1	NUM
american_scientific_journal-1841	119	3	−	−	NOUN
american_scientific_journal-1841	119	4	2𝑚𝑚	2𝑚𝑚	ADJ
american_scientific_journal-1841	120	1	𝑟𝑟	𝑟𝑟	ADP
american_scientific_journal-1841	120	2	−	−	NOUN
american_scientific_journal-1841	120	3	1	1	NUM
american_scientific_journal-1841	120	4	3	3	NUM
american_scientific_journal-1841	120	5	𝛬𝛬𝑟𝑟2	𝛬𝛬𝑟𝑟2	NOUN
american_scientific_journal-1841	120	6	)	)	PUNCT
american_scientific_journal-1841	120	7	𝑐𝑐2𝑑𝑑𝜔𝜔2	𝑐𝑐2𝑑𝑑𝜔𝜔2	NOUN
american_scientific_journal-1841	120	8	−	−	X
american_scientific_journal-1841	120	9	𝑑𝑑𝑟𝑟2	𝑑𝑑𝑟𝑟2	NOUN
american_scientific_journal-1841	120	10	(	(	PUNCT
american_scientific_journal-1841	120	11	1−2𝑚𝑚𝑟𝑟	1−2𝑚𝑚𝑟𝑟	NUM
american_scientific_journal-1841	120	12	−13𝛬𝛬𝑟𝑟	−13𝛬𝛬𝑟𝑟	PROPN
american_scientific_journal-1841	120	13	2	2	NUM
american_scientific_journal-1841	120	14	)	)	PUNCT
american_scientific_journal-1841	120	15	−	−	NOUN
american_scientific_journal-1841	121	1	𝑟𝑟2	𝑟𝑟2	NOUN
american_scientific_journal-1841	121	2	(	(	PUNCT
american_scientific_journal-1841	121	3	𝑑𝑑θ2	𝑑𝑑θ2	NOUN
american_scientific_journal-1841	121	4	+	+	CCONJ
american_scientific_journal-1841	121	5	𝑠𝑠𝑠𝑠𝑠𝑠2θ𝑑𝑑φ2	𝑠𝑠𝑠𝑠𝑠𝑠2θ𝑑𝑑φ2	NOUN
american_scientific_journal-1841	121	6	)	)	PUNCT
american_scientific_journal-1841	121	7	(	(	PUNCT
american_scientific_journal-1841	121	8	6.2	6.2	NUM
american_scientific_journal-1841	121	9	)	)	PUNCT
american_scientific_journal-1841	121	10	for	for	ADP
american_scientific_journal-1841	121	11	a	a	DET
american_scientific_journal-1841	121	12	spherically	spherically	NOUN
american_scientific_journal-1841	121	13	symmetric	symmetric	ADJ
american_scientific_journal-1841	121	14	object	object	NOUN
american_scientific_journal-1841	121	15	.	.	PUNCT
american_scientific_journal-1841	122	1	the	the	DET
american_scientific_journal-1841	122	2	geodesic	geodesic	ADJ
american_scientific_journal-1841	122	3	equations	equation	NOUN
american_scientific_journal-1841	122	4	for	for	ADP
american_scientific_journal-1841	122	5	constant	constant	ADJ
american_scientific_journal-1841	122	6	r	r	NOUN
american_scientific_journal-1841	122	7	=	=	SYM
american_scientific_journal-1841	122	8	a	a	NOUN
american_scientific_journal-1841	122	9	,	,	PUNCT
american_scientific_journal-1841	122	10	and	and	CCONJ
american_scientific_journal-1841	122	11	θ	θ	PROPN
american_scientific_journal-1841	122	12	=	=	PUNCT
american_scientific_journal-1841	123	1	π	π	NOUN
american_scientific_journal-1841	123	2	2	2	NUM
american_scientific_journal-1841	123	3	can	can	AUX
american_scientific_journal-1841	123	4	be	be	AUX
american_scientific_journal-1841	123	5	written	write	VERB
american_scientific_journal-1841	123	6	as	as	ADP
american_scientific_journal-1841	123	7	(	(	PUNCT
american_scientific_journal-1841	123	8	jayakody	jayakody	NOUN
american_scientific_journal-1841	123	9	[	[	X
american_scientific_journal-1841	123	10	5	5	NUM
american_scientific_journal-1841	123	11	]	]	PUNCT
american_scientific_journal-1841	123	12	)	)	PUNCT
american_scientific_journal-1841	123	13	𝑦𝑦2	𝑦𝑦2	NOUN
american_scientific_journal-1841	123	14	𝑑𝑑φ	𝑑𝑑φ	ADJ
american_scientific_journal-1841	123	15	𝑑𝑑𝑑𝑑	𝑑𝑑𝑑𝑑	NOUN
american_scientific_journal-1841	123	16	=	=	PUNCT
american_scientific_journal-1841	123	17	ℎ	ℎ	PROPN
american_scientific_journal-1841	123	18	(	(	PUNCT
american_scientific_journal-1841	123	19	6.3	6.3	NUM
american_scientific_journal-1841	123	20	)	)	PUNCT
american_scientific_journal-1841	123	21	and	and	CCONJ
american_scientific_journal-1841	123	22	american	american	ADJ
american_scientific_journal-1841	123	23	scientific	scientific	ADJ
american_scientific_journal-1841	123	24	research	research	NOUN
american_scientific_journal-1841	123	25	journal	journal	NOUN
american_scientific_journal-1841	123	26	for	for	ADP
american_scientific_journal-1841	123	27	engineering	engineering	NOUN
american_scientific_journal-1841	123	28	,	,	PUNCT
american_scientific_journal-1841	123	29	technology	technology	NOUN
american_scientific_journal-1841	123	30	,	,	PUNCT
american_scientific_journal-1841	123	31	and	and	CCONJ
american_scientific_journal-1841	123	32	sciences	science	NOUN
american_scientific_journal-1841	123	33	(	(	PUNCT
american_scientific_journal-1841	123	34	asrjets	asrjet	NOUN
american_scientific_journal-1841	123	35	)	)	PUNCT
american_scientific_journal-1841	123	36	(	(	PUNCT
american_scientific_journal-1841	123	37	2016	2016	NUM
american_scientific_journal-1841	123	38	)	)	PUNCT
american_scientific_journal-1841	123	39	volume	volume	NOUN
american_scientific_journal-1841	123	40	22	22	NUM
american_scientific_journal-1841	123	41	,	,	PUNCT
american_scientific_journal-1841	123	42	no	no	DET
american_scientific_journal-1841	123	43	1	1	NUM
american_scientific_journal-1841	123	44	,	,	PUNCT
american_scientific_journal-1841	123	45	pp	pp	ADV
american_scientific_journal-1841	123	46	184	184	NUM
american_scientific_journal-1841	123	47	-	-	SYM
american_scientific_journal-1841	123	48	194	194	NUM
american_scientific_journal-1841	123	49	192	192	NUM
american_scientific_journal-1841	123	50	ℎ2	ℎ2	NOUN
american_scientific_journal-1841	123	51	=	=	PUNCT
american_scientific_journal-1841	124	1	[	[	X
american_scientific_journal-1841	124	2	3𝑚𝑚−𝛬𝛬𝑎𝑎3	3𝑚𝑚−𝛬𝛬𝑎𝑎3	NUM
american_scientific_journal-1841	124	3	3(𝑎𝑎−3𝑚𝑚	3(𝑎𝑎−3𝑚𝑚	NUM
american_scientific_journal-1841	124	4	)	)	PUNCT
american_scientific_journal-1841	124	5	]	]	PUNCT
american_scientific_journal-1841	125	1	𝑦𝑦2𝑐𝑐2	𝑦𝑦2𝑐𝑐2	PROPN
american_scientific_journal-1841	125	2	(	(	PUNCT
american_scientific_journal-1841	125	3	6.4	6.4	NUM
american_scientific_journal-1841	125	4	)	)	PUNCT
american_scientific_journal-1841	125	5	eliminating	eliminate	VERB
american_scientific_journal-1841	125	6	𝑑𝑑𝑑𝑑	𝑑𝑑𝑑𝑑	PROPN
american_scientific_journal-1841	125	7	𝑑𝑑𝑑𝑑	𝑑𝑑𝑑𝑑	NOUN
american_scientific_journal-1841	125	8	,	,	PUNCT
american_scientific_journal-1841	125	9	whereh	whereh	X
american_scientific_journal-1841	125	10	is	be	AUX
american_scientific_journal-1841	125	11	a	a	DET
american_scientific_journal-1841	125	12	constant	constant	ADJ
american_scientific_journal-1841	125	13	,	,	PUNCT
american_scientific_journal-1841	125	14	m	m	AUX
american_scientific_journal-1841	125	15	=	=	PUNCT
american_scientific_journal-1841	125	16	𝜋𝜋𝐺𝐺	𝜋𝜋𝐺𝐺	VERB
american_scientific_journal-1841	125	17	𝑐𝑐2	𝑐𝑐2	NOUN
american_scientific_journal-1841	125	18	,	,	PUNCT
american_scientific_journal-1841	125	19	m	m	VERB
american_scientific_journal-1841	125	20	being	be	AUX
american_scientific_journal-1841	125	21	the	the	DET
american_scientific_journal-1841	125	22	mass	mass	NOUN
american_scientific_journal-1841	125	23	of	of	ADP
american_scientific_journal-1841	125	24	the	the	DET
american_scientific_journal-1841	125	25	spherically	spherically	NOUN
american_scientific_journal-1841	125	26	symmetric	symmetric	ADJ
american_scientific_journal-1841	125	27	object	object	NOUN
american_scientific_journal-1841	125	28	.	.	PUNCT
american_scientific_journal-1841	126	1	since	since	SCONJ
american_scientific_journal-1841	126	2	a	a	PRON
american_scientific_journal-1841	126	3	can	can	AUX
american_scientific_journal-1841	126	4	be	be	AUX
american_scientific_journal-1841	126	5	assumed	assume	VERB
american_scientific_journal-1841	126	6	to	to	PART
american_scientific_journal-1841	126	7	be	be	AUX
american_scientific_journal-1841	126	8	greater	great	ADJ
american_scientific_journal-1841	126	9	than	than	ADP
american_scientific_journal-1841	126	10	3m,(6.4	3m,(6.4	NUM
american_scientific_journal-1841	126	11	)	)	PUNCT
american_scientific_journal-1841	126	12	implies	imply	VERB
american_scientific_journal-1841	126	13	that	that	PRON
american_scientific_journal-1841	126	14	𝛬𝛬<3𝑚𝑚	𝛬𝛬<3𝑚𝑚	VERB
american_scientific_journal-1841	127	1	𝑎𝑎3	𝑎𝑎3	INTJ
american_scientific_journal-1841	127	2	.	.	PUNCT
american_scientific_journal-1841	128	1	the	the	DET
american_scientific_journal-1841	128	2	equation	equation	NOUN
american_scientific_journal-1841	128	3	(	(	PUNCT
american_scientific_journal-1841	128	4	6.3)gives	6.3)give	NOUN
american_scientific_journal-1841	128	5	the	the	DET
american_scientific_journal-1841	128	6	angular	angular	ADJ
american_scientific_journal-1841	128	7	momentum	momentum	NOUN
american_scientific_journal-1841	128	8	h	h	NOUN
american_scientific_journal-1841	128	9	per	per	ADP
american_scientific_journal-1841	128	10	unit	unit	NOUN
american_scientific_journal-1841	128	11	mass	mass	NOUN
american_scientific_journal-1841	128	12	of	of	ADP
american_scientific_journal-1841	128	13	a	a	DET
american_scientific_journal-1841	128	14	particle	particle	NOUN
american_scientific_journal-1841	128	15	describing	describe	VERB
american_scientific_journal-1841	128	16	a	a	DET
american_scientific_journal-1841	128	17	circular	circular	ADJ
american_scientific_journal-1841	128	18	path	path	NOUN
american_scientific_journal-1841	128	19	of	of	ADP
american_scientific_journal-1841	128	20	coordinate	coordinate	NOUN
american_scientific_journal-1841	128	21	radius	radius	NOUN
american_scientific_journal-1841	128	22	a	a	PRON
american_scientific_journal-1841	128	23	around	around	ADP
american_scientific_journal-1841	128	24	a	a	DET
american_scientific_journal-1841	128	25	spherically	spherically	NOUN
american_scientific_journal-1841	128	26	symmetric	symmetric	ADJ
american_scientific_journal-1841	128	27	distribution	distribution	NOUN
american_scientific_journal-1841	128	28	of	of	ADP
american_scientific_journal-1841	128	29	mass	mass	NOUN
american_scientific_journal-1841	128	30	m	m	PROPN
american_scientific_journal-1841	128	31	,	,	PUNCT
american_scientific_journal-1841	128	32	and	and	CCONJ
american_scientific_journal-1841	128	33	the	the	DET
american_scientific_journal-1841	128	34	equation	equation	NOUN
american_scientific_journal-1841	128	35	(	(	PUNCT
american_scientific_journal-1841	128	36	6.4	6.4	NUM
american_scientific_journal-1841	128	37	)	)	PUNCT
american_scientific_journal-1841	128	38	expresses	express	VERB
american_scientific_journal-1841	128	39	h	h	NOUN
american_scientific_journal-1841	128	40	at	at	ADP
american_scientific_journal-1841	128	41	a	a	DET
american_scientific_journal-1841	128	42	given	give	VERB
american_scientific_journal-1841	128	43	a	a	PRON
american_scientific_journal-1841	128	44	in	in	ADP
american_scientific_journal-1841	128	45	terms	term	NOUN
american_scientific_journal-1841	128	46	of	of	ADP
american_scientific_journal-1841	128	47	m	m	PRON
american_scientific_journal-1841	128	48	and	and	CCONJ
american_scientific_journal-1841	128	49	𝛬𝛬.	𝛬𝛬.	X
american_scientific_journal-1841	128	50	if	if	SCONJ
american_scientific_journal-1841	128	51	𝛬𝛬	𝛬𝛬	PROPN
american_scientific_journal-1841	128	52	=	=	SYM
american_scientific_journal-1841	128	53	0	0	NUM
american_scientific_journal-1841	128	54	and	and	CCONJ
american_scientific_journal-1841	128	55	m	m	PROPN
american_scientific_journal-1841	128	56	is	be	AUX
american_scientific_journal-1841	128	57	negligible	negligible	ADJ
american_scientific_journal-1841	128	58	the	the	DET
american_scientific_journal-1841	128	59	equation	equation	NOUN
american_scientific_journal-1841	128	60	(	(	PUNCT
american_scientific_journal-1841	128	61	6.4	6.4	NUM
american_scientific_journal-1841	128	62	)	)	PUNCT
american_scientific_journal-1841	128	63	reduces	reduce	VERB
american_scientific_journal-1841	128	64	to	to	ADP
american_scientific_journal-1841	128	65	ℎ2	ℎ2	NOUN
american_scientific_journal-1841	128	66	=	=	PUNCT
american_scientific_journal-1841	128	67	𝑐𝑐𝑦𝑦𝑐𝑐2	𝑐𝑐𝑦𝑦𝑐𝑐2	NOUN
american_scientific_journal-1841	128	68	(	(	PUNCT
american_scientific_journal-1841	128	69	6.5	6.5	NUM
american_scientific_journal-1841	128	70	)	)	PUNCT
american_scientific_journal-1841	128	71	corresponding	correspond	VERB
american_scientific_journal-1841	128	72	to	to	ADP
american_scientific_journal-1841	128	73	the	the	DET
american_scientific_journal-1841	128	74	newtonian	newtonian	ADJ
american_scientific_journal-1841	128	75	equation	equation	NOUN
american_scientific_journal-1841	128	76	.	.	PUNCT
american_scientific_journal-1841	129	1	when	when	SCONJ
american_scientific_journal-1841	129	2	m	m	ADV
american_scientific_journal-1841	129	3	=	=	PROPN
american_scientific_journal-1841	129	4	0	0	NUM
american_scientific_journal-1841	129	5	,	,	PUNCT
american_scientific_journal-1841	129	6	the	the	DET
american_scientific_journal-1841	129	7	equation	equation	NOUN
american_scientific_journal-1841	129	8	(	(	PUNCT
american_scientific_journal-1841	129	9	6.4	6.4	NUM
american_scientific_journal-1841	129	10	)	)	PUNCT
american_scientific_journal-1841	129	11	reduces	reduce	VERB
american_scientific_journal-1841	129	12	to	to	ADP
american_scientific_journal-1841	129	13	ℎ2	ℎ2	NOUN
american_scientific_journal-1841	129	14	=	=	PUNCT
american_scientific_journal-1841	129	15	−𝛬𝛬𝑎𝑎	−𝛬𝛬𝑎𝑎	PROPN
american_scientific_journal-1841	129	16	4	4	NUM
american_scientific_journal-1841	129	17	3	3	NUM
american_scientific_journal-1841	129	18	𝑐𝑐	𝑐𝑐	NOUN
american_scientific_journal-1841	129	19	discussed	discuss	VERB
american_scientific_journal-1841	129	20	under	under	ADP
american_scientific_journal-1841	129	21	section	section	NOUN
american_scientific_journal-1841	129	22	4	4	NUM
american_scientific_journal-1841	129	23	.	.	PUNCT
american_scientific_journal-1841	129	24	dark	dark	ADJ
american_scientific_journal-1841	129	25	matter	matter	NOUN
american_scientific_journal-1841	129	26	had	have	VERB
american_scientific_journal-1841	129	27	to	to	PART
american_scientific_journal-1841	129	28	be	be	AUX
american_scientific_journal-1841	129	29	formulated	formulate	VERB
american_scientific_journal-1841	130	1	[	[	X
american_scientific_journal-1841	130	2	12	12	NUM
american_scientific_journal-1841	130	3	]	]	PUNCT
american_scientific_journal-1841	130	4	as	as	SCONJ
american_scientific_journal-1841	130	5	it	it	PRON
american_scientific_journal-1841	130	6	was	be	AUX
american_scientific_journal-1841	130	7	noted	note	VERB
american_scientific_journal-1841	130	8	that	that	SCONJ
american_scientific_journal-1841	130	9	the	the	DET
american_scientific_journal-1841	130	10	right	right	ADJ
american_scientific_journal-1841	130	11	hand	hand	NOUN
american_scientific_journal-1841	130	12	side	side	NOUN
american_scientific_journal-1841	130	13	of	of	ADP
american_scientific_journal-1841	130	14	the	the	DET
american_scientific_journal-1841	130	15	equation	equation	NOUN
american_scientific_journal-1841	130	16	(	(	PUNCT
american_scientific_journal-1841	130	17	6.5	6.5	NUM
american_scientific_journal-1841	130	18	)	)	PUNCT
american_scientific_journal-1841	130	19	with	with	ADP
american_scientific_journal-1841	130	20	the	the	DET
american_scientific_journal-1841	130	21	mass	mass	NOUN
american_scientific_journal-1841	130	22	of	of	ADP
american_scientific_journal-1841	130	23	the	the	DET
american_scientific_journal-1841	130	24	object	object	NOUN
american_scientific_journal-1841	130	25	could	could	AUX
american_scientific_journal-1841	130	26	not	not	PART
american_scientific_journal-1841	130	27	account	account	VERB
american_scientific_journal-1841	130	28	for	for	ADP
american_scientific_journal-1841	130	29	the	the	DET
american_scientific_journal-1841	130	30	large	large	ADJ
american_scientific_journal-1841	130	31	h	h	NOUN
american_scientific_journal-1841	130	32	that	that	PRON
american_scientific_journal-1841	130	33	was	be	AUX
american_scientific_journal-1841	130	34	observed	observe	VERB
american_scientific_journal-1841	130	35	.	.	PUNCT
american_scientific_journal-1841	131	1	however	however	ADV
american_scientific_journal-1841	131	2	,	,	PUNCT
american_scientific_journal-1841	131	3	from	from	ADP
american_scientific_journal-1841	131	4	the	the	DET
american_scientific_journal-1841	131	5	equation	equation	NOUN
american_scientific_journal-1841	131	6	(	(	PUNCT
american_scientific_journal-1841	131	7	6.4	6.4	NUM
american_scientific_journal-1841	131	8	)	)	PUNCT
american_scientific_journal-1841	131	9	it	it	PRON
american_scientific_journal-1841	131	10	is	be	AUX
american_scientific_journal-1841	131	11	clear	clear	ADJ
american_scientific_journal-1841	131	12	that	that	SCONJ
american_scientific_journal-1841	131	13	a	a	DET
american_scientific_journal-1841	131	14	larger	large	ADJ
american_scientific_journal-1841	131	15	h	h	NOUN
american_scientific_journal-1841	131	16	could	could	AUX
american_scientific_journal-1841	131	17	be	be	AUX
american_scientific_journal-1841	131	18	accounted	account	VERB
american_scientific_journal-1841	131	19	for	for	ADP
american_scientific_journal-1841	131	20	at	at	ADP
american_scientific_journal-1841	131	21	given	give	VERB
american_scientific_journal-1841	131	22	a	a	PRON
american_scientific_journal-1841	131	23	,	,	PUNCT
american_scientific_journal-1841	131	24	for	for	ADP
american_scientific_journal-1841	131	25	suitable	suitable	ADJ
american_scientific_journal-1841	131	26	values	value	NOUN
american_scientific_journal-1841	131	27	of	of	ADP
american_scientific_journal-1841	131	28	𝛬𝛬	𝛬𝛬	PROPN
american_scientific_journal-1841	131	29	.	.	PUNCT
american_scientific_journal-1841	132	1	assuming	assume	VERB
american_scientific_journal-1841	132	2	that	that	SCONJ
american_scientific_journal-1841	132	3	the	the	DET
american_scientific_journal-1841	132	4	mass	mass	NOUN
american_scientific_journal-1841	132	5	required	require	VERB
american_scientific_journal-1841	132	6	to	to	PART
american_scientific_journal-1841	132	7	generate	generate	VERB
american_scientific_journal-1841	132	8	the	the	DET
american_scientific_journal-1841	132	9	velocity	velocity	NOUN
american_scientific_journal-1841	132	10	observed	observe	VERB
american_scientific_journal-1841	132	11	is	be	AUX
american_scientific_journal-1841	132	12	five	five	NUM
american_scientific_journal-1841	132	13	times	time	NOUN
american_scientific_journal-1841	132	14	the	the	DET
american_scientific_journal-1841	132	15	mass	mass	NOUN
american_scientific_journal-1841	132	16	of	of	ADP
american_scientific_journal-1841	132	17	the	the	DET
american_scientific_journal-1841	132	18	object	object	NOUN
american_scientific_journal-1841	132	19	,	,	PUNCT
american_scientific_journal-1841	132	20	we	we	PRON
american_scientific_journal-1841	132	21	find	find	VERB
american_scientific_journal-1841	132	22	that	that	SCONJ
american_scientific_journal-1841	132	23	𝛬𝛬	𝛬𝛬	PROPN
american_scientific_journal-1841	132	24	that	that	PRON
american_scientific_journal-1841	132	25	satisfies	satisfy	VERB
american_scientific_journal-1841	132	26	the	the	DET
american_scientific_journal-1841	132	27	equation	equation	NOUN
american_scientific_journal-1841	132	28	[	[	X
american_scientific_journal-1841	132	29	3𝑚𝑚−𝛬𝛬𝑎𝑎3	3𝑚𝑚−𝛬𝛬𝑎𝑎3	NUM
american_scientific_journal-1841	132	30	3(𝑎𝑎−3𝑚𝑚	3(𝑎𝑎−3𝑚𝑚	NUM
american_scientific_journal-1841	132	31	)	)	PUNCT
american_scientific_journal-1841	132	32	]	]	PUNCT
american_scientific_journal-1841	133	1	𝑦𝑦2𝑐𝑐2	𝑦𝑦2𝑐𝑐2	PROPN
american_scientific_journal-1841	133	2	=	=	SYM
american_scientific_journal-1841	133	3	5𝑐𝑐𝑦𝑦𝑐𝑐2	5𝑐𝑐𝑦𝑦𝑐𝑐2	NUM
american_scientific_journal-1841	133	4	could	could	AUX
american_scientific_journal-1841	133	5	account	account	VERB
american_scientific_journal-1841	133	6	for	for	ADP
american_scientific_journal-1841	133	7	the	the	DET
american_scientific_journal-1841	133	8	velocities	velocity	NOUN
american_scientific_journal-1841	133	9	around	around	ADP
american_scientific_journal-1841	133	10	the	the	DET
american_scientific_journal-1841	133	11	central	central	ADJ
american_scientific_journal-1841	133	12	body	body	NOUN
american_scientific_journal-1841	133	13	.	.	PUNCT
american_scientific_journal-1841	134	1	this	this	DET
american_scientific_journal-1841	134	2	𝛬𝛬	𝛬𝛬	PROPN
american_scientific_journal-1841	134	3	=	=	SYM
american_scientific_journal-1841	134	4	−3𝑚𝑚	−3𝑚𝑚	PROPN
american_scientific_journal-1841	134	5	(	(	PUNCT
american_scientific_journal-1841	134	6	4𝑎𝑎−15𝑚𝑚	4𝑎𝑎−15𝑚𝑚	NOUN
american_scientific_journal-1841	134	7	)	)	PUNCT
american_scientific_journal-1841	134	8	𝑎𝑎4	𝑎𝑎4	PROPN
american_scientific_journal-1841	134	9	(	(	PUNCT
american_scientific_journal-1841	134	10	6.6	6.6	NUM
american_scientific_journal-1841	134	11	)	)	PUNCT
american_scientific_journal-1841	134	12	which	which	PRON
american_scientific_journal-1841	134	13	could	could	AUX
american_scientific_journal-1841	134	14	be	be	AUX
american_scientific_journal-1841	134	15	satisfied	satisfied	ADJ
american_scientific_journal-1841	134	16	if	if	SCONJ
american_scientific_journal-1841	134	17	4a	4a	NUM
american_scientific_journal-1841	134	18	>	>	SYM
american_scientific_journal-1841	134	19	15	15	NUM
american_scientific_journal-1841	134	20	m	m	NOUN
american_scientific_journal-1841	134	21	,	,	PUNCT
american_scientific_journal-1841	134	22	and	and	CCONJ
american_scientific_journal-1841	134	23	𝛬𝛬	𝛬𝛬	PROPN
american_scientific_journal-1841	134	24	<	<	X
american_scientific_journal-1841	134	25	0	0	NUM
american_scientific_journal-1841	134	26	.	.	PUNCT
american_scientific_journal-1841	135	1	in	in	ADP
american_scientific_journal-1841	135	2	our	our	PRON
american_scientific_journal-1841	135	3	formulation	formulation	NOUN
american_scientific_journal-1841	135	4	𝛬𝛬is	𝛬𝛬is	PROPN
american_scientific_journal-1841	135	5	a	a	DET
american_scientific_journal-1841	135	6	variable	variable	NOUN
american_scientific_journal-1841	135	7	,	,	PUNCT
american_scientific_journal-1841	135	8	and	and	CCONJ
american_scientific_journal-1841	135	9	for	for	ADP
american_scientific_journal-1841	135	10	some	some	DET
american_scientific_journal-1841	135	11	models	model	NOUN
american_scientific_journal-1841	135	12	of	of	ADP
american_scientific_journal-1841	135	13	the	the	DET
american_scientific_journal-1841	135	14	universe	universe	NOUN
american_scientific_journal-1841	135	15	it	it	PRON
american_scientific_journal-1841	135	16	should	should	AUX
american_scientific_journal-1841	135	17	be	be	AUX
american_scientific_journal-1841	135	18	possible	possible	ADJ
american_scientific_journal-1841	135	19	to	to	PART
american_scientific_journal-1841	135	20	find	find	VERB
american_scientific_journal-1841	135	21	suitable	suitable	ADJ
american_scientific_journal-1841	135	22	values	value	NOUN
american_scientific_journal-1841	135	23	satisfying	satisfy	VERB
american_scientific_journal-1841	135	24	(	(	PUNCT
american_scientific_journal-1841	135	25	6.6	6.6	NUM
american_scientific_journal-1841	135	26	)	)	PUNCT
american_scientific_journal-1841	135	27	.	.	PUNCT
american_scientific_journal-1841	136	1	the	the	DET
american_scientific_journal-1841	136	2	model	model	NOUN
american_scientific_journal-1841	136	3	discussed	discuss	VERB
american_scientific_journal-1841	136	4	under	under	ADP
american_scientific_journal-1841	136	5	the	the	DET
american_scientific_journal-1841	136	6	previous	previous	ADJ
american_scientific_journal-1841	136	7	section	section	NOUN
american_scientific_journal-1841	136	8	gives	give	VERB
american_scientific_journal-1841	136	9	negative	negative	ADJ
american_scientific_journal-1841	136	10	𝛬𝛬	𝛬𝛬	PROPN
american_scientific_journal-1841	136	11	for	for	ADP
american_scientific_journal-1841	136	12	certain	certain	ADJ
american_scientific_journal-1841	136	13	values	value	NOUN
american_scientific_journal-1841	136	14	of	of	ADP
american_scientific_journal-1841	136	15	cosmic	cosmic	ADJ
american_scientific_journal-1841	136	16	time	time	NOUN
american_scientific_journal-1841	136	17	t.	t.	PROPN
american_scientific_journal-1841	136	18	if	if	SCONJ
american_scientific_journal-1841	136	19	the	the	DET
american_scientific_journal-1841	136	20	mass	mass	NOUN
american_scientific_journal-1841	136	21	required	require	VERB
american_scientific_journal-1841	136	22	to	to	PART
american_scientific_journal-1841	136	23	account	account	VERB
american_scientific_journal-1841	136	24	for	for	ADP
american_scientific_journal-1841	136	25	high	high	ADJ
american_scientific_journal-1841	136	26	values	value	NOUN
american_scientific_journal-1841	136	27	of	of	ADP
american_scientific_journal-1841	136	28	h	h	NOUN
american_scientific_journal-1841	136	29	is	be	AUX
american_scientific_journal-1841	136	30	n	n	PRON
american_scientific_journal-1841	136	31	times	time	NOUN
american_scientific_journal-1841	136	32	the	the	DET
american_scientific_journal-1841	136	33	mass	mass	NOUN
american_scientific_journal-1841	136	34	of	of	ADP
american_scientific_journal-1841	136	35	the	the	DET
american_scientific_journal-1841	136	36	object	object	NOUN
american_scientific_journal-1841	136	37	,	,	PUNCT
american_scientific_journal-1841	136	38	then	then	ADV
american_scientific_journal-1841	136	39	we	we	PRON
american_scientific_journal-1841	136	40	have	have	VERB
american_scientific_journal-1841	136	41	[	[	X
american_scientific_journal-1841	136	42	3𝑚𝑚−𝛬𝛬𝑎𝑎3	3𝑚𝑚−𝛬𝛬𝑎𝑎3	NUM
american_scientific_journal-1841	136	43	3(𝑎𝑎−3𝑚𝑚	3(𝑎𝑎−3𝑚𝑚	NUM
american_scientific_journal-1841	136	44	)	)	PUNCT
american_scientific_journal-1841	136	45	]	]	PUNCT
american_scientific_journal-1841	137	1	𝑦𝑦2𝑐𝑐2	𝑦𝑦2𝑐𝑐2	PROPN
american_scientific_journal-1841	137	2	=	=	SYM
american_scientific_journal-1841	137	3	𝑠𝑠𝑐𝑐𝑦𝑦𝑐𝑐2	𝑠𝑠𝑐𝑐𝑦𝑦𝑐𝑐2	PROPN
american_scientific_journal-1841	137	4	,	,	PUNCT
american_scientific_journal-1841	137	5	giving	give	VERB
american_scientific_journal-1841	137	6	𝛬𝛬	𝛬𝛬	PROPN
american_scientific_journal-1841	137	7	=	=	SYM
american_scientific_journal-1841	137	8	−3𝑚𝑚[(𝑛𝑛−1)𝑎𝑎−3𝑛𝑛𝑚𝑚	−3𝑚𝑚[(𝑛𝑛−1)𝑎𝑎−3𝑛𝑛𝑚𝑚	PROPN
american_scientific_journal-1841	137	9	]	]	PUNCT
american_scientific_journal-1841	137	10	𝑎𝑎4	𝑎𝑎4	PROPN
american_scientific_journal-1841	137	11	.	.	PUNCT
american_scientific_journal-1841	138	1	𝛬𝛬	𝛬𝛬	PROPN
american_scientific_journal-1841	138	2	can	can	AUX
american_scientific_journal-1841	138	3	be	be	AUX
american_scientific_journal-1841	138	4	positive	positive	ADJ
american_scientific_journal-1841	138	5	if𝑐𝑐	if𝑐𝑐	NOUN
american_scientific_journal-1841	138	6	>	>	X
american_scientific_journal-1841	138	7	(	(	PUNCT
american_scientific_journal-1841	138	8	𝑛𝑛−1)𝑎𝑎	𝑛𝑛−1)𝑎𝑎	PROPN
american_scientific_journal-1841	138	9	3𝑛𝑛	3𝑛𝑛	NOUN
american_scientific_journal-1841	138	10	.	.	PUNCT
american_scientific_journal-1841	139	1	thus	thus	ADV
american_scientific_journal-1841	139	2	even	even	ADV
american_scientific_journal-1841	139	3	if	if	SCONJ
american_scientific_journal-1841	139	4	the	the	DET
american_scientific_journal-1841	139	5	pressure	pressure	NOUN
american_scientific_journal-1841	139	6	due	due	ADP
american_scientific_journal-1841	139	7	to	to	ADP
american_scientific_journal-1841	139	8	space	space	NOUN
american_scientific_journal-1841	139	9	–	–	PUNCT
american_scientific_journal-1841	139	10	time	time	NOUN
american_scientific_journal-1841	139	11	is	be	AUX
american_scientific_journal-1841	139	12	negative	negative	ADJ
american_scientific_journal-1841	139	13	,	,	PUNCT
american_scientific_journal-1841	139	14	it	it	PRON
american_scientific_journal-1841	139	15	is	be	AUX
american_scientific_journal-1841	139	16	possible	possible	ADJ
american_scientific_journal-1841	139	17	to	to	PART
american_scientific_journal-1841	139	18	have	have	VERB
american_scientific_journal-1841	139	19	circular	circular	ADJ
american_scientific_journal-1841	139	20	motion	motion	NOUN
american_scientific_journal-1841	139	21	of	of	ADP
american_scientific_journal-1841	139	22	high	high	ADJ
american_scientific_journal-1841	139	23	values	value	NOUN
american_scientific_journal-1841	139	24	of	of	ADP
american_scientific_journal-1841	139	25	h	h	NOUN
american_scientific_journal-1841	139	26	,	,	PUNCT
american_scientific_journal-1841	139	27	for	for	ADP
american_scientific_journal-1841	139	28	suitable	suitable	ADJ
american_scientific_journal-1841	139	29	values	value	NOUN
american_scientific_journal-1841	139	30	of	of	ADP
american_scientific_journal-1841	139	31	m	m	PROPN
american_scientific_journal-1841	139	32	,	,	PUNCT
american_scientific_journal-1841	139	33	n	n	PROPN
american_scientific_journal-1841	139	34	and	and	CCONJ
american_scientific_journal-1841	139	35	a	a	PRON
american_scientific_journal-1841	139	36	,	,	PUNCT
american_scientific_journal-1841	139	37	as	as	SCONJ
american_scientific_journal-1841	139	38	m	m	PRON
american_scientific_journal-1841	139	39	would	would	AUX
american_scientific_journal-1841	139	40	overcome	overcome	VERB
american_scientific_journal-1841	139	41	the	the	DET
american_scientific_journal-1841	139	42	effect	effect	NOUN
american_scientific_journal-1841	139	43	of	of	ADP
american_scientific_journal-1841	139	44	𝛬𝛬	𝛬𝛬	PROPN
american_scientific_journal-1841	139	45	,	,	PUNCT
american_scientific_journal-1841	139	46	provided	provide	VERB
american_scientific_journal-1841	139	47	that	that	DET
american_scientific_journal-1841	139	48	𝛬𝛬<3𝑚𝑚	𝛬𝛬<3𝑚𝑚	NOUN
american_scientific_journal-1841	140	1	𝑎𝑎3	𝑎𝑎3	NOUN
american_scientific_journal-1841	140	2	as	as	SCONJ
american_scientific_journal-1841	140	3	seen	see	VERB
american_scientific_journal-1841	140	4	from	from	ADP
american_scientific_journal-1841	140	5	(	(	PUNCT
american_scientific_journal-1841	140	6	6.4	6.4	NUM
american_scientific_journal-1841	140	7	)	)	PUNCT
american_scientific_journal-1841	140	8	.	.	PUNCT
american_scientific_journal-1841	141	1	jayakody	jayakody	NOUN
american_scientific_journal-1841	142	1	[	[	X
american_scientific_journal-1841	142	2	5	5	X
american_scientific_journal-1841	142	3	]	]	PUNCT
american_scientific_journal-1841	142	4	has	have	AUX
american_scientific_journal-1841	142	5	also	also	ADV
american_scientific_journal-1841	142	6	shown	show	VERB
american_scientific_journal-1841	142	7	that	that	SCONJ
american_scientific_journal-1841	142	8	for	for	ADP
american_scientific_journal-1841	142	9	a	a	DET
american_scientific_journal-1841	142	10	ray	ray	NOUN
american_scientific_journal-1841	142	11	of	of	ADP
american_scientific_journal-1841	142	12	light	light	NOUN
american_scientific_journal-1841	142	13	passing	pass	VERB
american_scientific_journal-1841	142	14	at	at	ADP
american_scientific_journal-1841	142	15	a	a	DET
american_scientific_journal-1841	142	16	distance	distance	NOUN
american_scientific_journal-1841	142	17	r0	r0	NOUN
american_scientific_journal-1841	142	18	from	from	ADP
american_scientific_journal-1841	142	19	the	the	DET
american_scientific_journal-1841	142	20	centre	centre	NOUN
american_scientific_journal-1841	142	21	of	of	ADP
american_scientific_journal-1841	142	22	the	the	DET
american_scientific_journal-1841	142	23	spherically	spherically	PROPN
american_scientific_journal-1841	142	24	symmetric	symmetric	ADJ
american_scientific_journal-1841	142	25	body	body	NOUN
american_scientific_journal-1841	142	26	the	the	DET
american_scientific_journal-1841	142	27	angle	angle	NOUN
american_scientific_journal-1841	142	28	of	of	ADP
american_scientific_journal-1841	142	29	deflection	deflection	NOUN
american_scientific_journal-1841	142	30	is	be	AUX
american_scientific_journal-1841	142	31	given	give	VERB
american_scientific_journal-1841	142	32	by	by	ADP
american_scientific_journal-1841	142	33	2δ	2δ	NUM
american_scientific_journal-1841	142	34	where	where	SCONJ
american_scientific_journal-1841	142	35	american	american	ADJ
american_scientific_journal-1841	142	36	scientific	scientific	ADJ
american_scientific_journal-1841	142	37	research	research	PROPN
american_scientific_journal-1841	142	38	journal	journal	NOUN
american_scientific_journal-1841	142	39	for	for	ADP
american_scientific_journal-1841	142	40	engineering	engineering	NOUN
american_scientific_journal-1841	142	41	,	,	PUNCT
american_scientific_journal-1841	142	42	technology	technology	NOUN
american_scientific_journal-1841	142	43	,	,	PUNCT
american_scientific_journal-1841	142	44	and	and	CCONJ
american_scientific_journal-1841	142	45	sciences	science	NOUN
american_scientific_journal-1841	142	46	(	(	PUNCT
american_scientific_journal-1841	142	47	asrjets	asrjet	NOUN
american_scientific_journal-1841	142	48	)	)	PUNCT
american_scientific_journal-1841	142	49	(	(	PUNCT
american_scientific_journal-1841	142	50	2016	2016	NUM
american_scientific_journal-1841	142	51	)	)	PUNCT
american_scientific_journal-1841	142	52	volume	volume	NOUN
american_scientific_journal-1841	142	53	22	22	NUM
american_scientific_journal-1841	142	54	,	,	PUNCT
american_scientific_journal-1841	142	55	no	no	DET
american_scientific_journal-1841	142	56	1	1	NUM
american_scientific_journal-1841	142	57	,	,	PUNCT
american_scientific_journal-1841	142	58	pp	pp	ADV
american_scientific_journal-1841	142	59	184	184	NUM
american_scientific_journal-1841	142	60	-	-	SYM
american_scientific_journal-1841	142	61	194	194	NUM
american_scientific_journal-1841	142	62	193	193	NUM
american_scientific_journal-1841	142	63	𝛿𝛿	𝛿𝛿	NOUN
american_scientific_journal-1841	142	64	=	=	SYM
american_scientific_journal-1841	142	65	�	�	PROPN
american_scientific_journal-1841	142	66	2𝜀𝜀	2𝜀𝜀	NOUN
american_scientific_journal-1841	142	67	3𝑟𝑟0	3𝑟𝑟0	NUM
american_scientific_journal-1841	142	68	+	+	NUM
american_scientific_journal-1841	142	69	5𝜋𝜋𝜀𝜀2	5𝜋𝜋𝜀𝜀2	NUM
american_scientific_journal-1841	142	70	24𝑟𝑟02	24𝑟𝑟02	NUM
american_scientific_journal-1841	142	71	�	�	PROPN
american_scientific_journal-1841	142	72	�	�	PROPN
american_scientific_journal-1841	142	73	1	1	NUM
american_scientific_journal-1841	142	74	+	+	CCONJ
american_scientific_journal-1841	142	75	𝑟𝑟02λ	𝑟𝑟02λ	NOUN
american_scientific_journal-1841	142	76	6	6	NUM
american_scientific_journal-1841	142	77	−	−	NOUN
american_scientific_journal-1841	142	78	2𝜀𝜀2	2𝜀𝜀2	NUM
american_scientific_journal-1841	142	79	9𝑟𝑟02	9𝑟𝑟02	NUM
american_scientific_journal-1841	142	80	�	�	PROPN
american_scientific_journal-1841	142	81	−1	−1	NOUN
american_scientific_journal-1841	142	82	where	where	SCONJ
american_scientific_journal-1841	142	83	ε	ε	PROPN
american_scientific_journal-1841	142	84	=	=	SYM
american_scientific_journal-1841	142	85	3	3	NUM
american_scientific_journal-1841	142	86	m.	m.	NOUN
american_scientific_journal-1841	142	87	neglecting	neglect	VERB
american_scientific_journal-1841	142	88	terms	term	NOUN
american_scientific_journal-1841	142	89	of	of	ADP
american_scientific_journal-1841	142	90	order	order	NOUN
american_scientific_journal-1841	142	91	higher	high	ADJ
american_scientific_journal-1841	142	92	than	than	ADP
american_scientific_journal-1841	142	93	1	1	NUM
american_scientific_journal-1841	142	94	of	of	ADP
american_scientific_journal-1841	142	95	λ	λ	NOUN
american_scientific_journal-1841	142	96	and	and	CCONJ
american_scientific_journal-1841	142	97	terms	term	NOUN
american_scientific_journal-1841	142	98	of	of	ADP
american_scientific_journal-1841	142	99	order	order	NOUN
american_scientific_journal-1841	142	100	higher	high	ADJ
american_scientific_journal-1841	142	101	than	than	ADP
american_scientific_journal-1841	142	102	2	2	NUM
american_scientific_journal-1841	142	103	of	of	ADP
american_scientific_journal-1841	142	104	𝜀𝜀	𝜀𝜀	NOUN
american_scientific_journal-1841	142	105	,	,	PUNCT
american_scientific_journal-1841	142	106	jayakody	jayakody	NOUN
american_scientific_journal-1841	142	107	[	[	X
american_scientific_journal-1841	142	108	5	5	X
american_scientific_journal-1841	142	109	]	]	PUNCT
american_scientific_journal-1841	142	110	has	have	AUX
american_scientific_journal-1841	142	111	shown	show	VERB
american_scientific_journal-1841	142	112	that	that	SCONJ
american_scientific_journal-1841	142	113	2𝛿𝛿	2𝛿𝛿	NOUN
american_scientific_journal-1841	142	114	≈	≈	PROPN
american_scientific_journal-1841	142	115	4𝑐𝑐	4𝑐𝑐	ADJ
american_scientific_journal-1841	142	116	𝑟𝑟0	𝑟𝑟0	NOUN
american_scientific_journal-1841	142	117	+	+	CCONJ
american_scientific_journal-1841	142	118	15𝜋𝜋𝑐𝑐2	15𝜋𝜋𝑐𝑐2	NUM
american_scientific_journal-1841	143	1	4𝑟𝑟02	4𝑟𝑟02	NUM
american_scientific_journal-1841	144	1	−	−	NOUN
american_scientific_journal-1841	144	2	�	�	PROPN
american_scientific_journal-1841	144	3	2𝑟𝑟0𝑐𝑐	2𝑟𝑟0𝑐𝑐	NUM
american_scientific_journal-1841	144	4	3	3	NUM
american_scientific_journal-1841	144	5	+	+	CCONJ
american_scientific_journal-1841	144	6	5𝜋𝜋𝑐𝑐2	5𝜋𝜋𝑐𝑐2	NUM
american_scientific_journal-1841	144	7	8	8	NUM
american_scientific_journal-1841	144	8	�	�	NOUN
american_scientific_journal-1841	144	9	λ	λ	NOUN
american_scientific_journal-1841	144	10	this	this	PRON
american_scientific_journal-1841	144	11	agrees	agree	VERB
american_scientific_journal-1841	144	12	with	with	ADP
american_scientific_journal-1841	144	13	the	the	DET
american_scientific_journal-1841	144	14	schwarzschild	schwarzschild	NOUN
american_scientific_journal-1841	144	15	value	value	NOUN
american_scientific_journal-1841	144	16	4𝑚𝑚	4𝑚𝑚	NOUN
american_scientific_journal-1841	144	17	𝑟𝑟0	𝑟𝑟0	NOUN
american_scientific_journal-1841	144	18	as	as	ADP
american_scientific_journal-1841	144	19	a	a	DET
american_scientific_journal-1841	144	20	first	first	ADJ
american_scientific_journal-1841	144	21	approximation	approximation	NOUN
american_scientific_journal-1841	144	22	,	,	PUNCT
american_scientific_journal-1841	144	23	and	and	CCONJ
american_scientific_journal-1841	144	24	also	also	ADV
american_scientific_journal-1841	144	25	could	could	AUX
american_scientific_journal-1841	144	26	be	be	AUX
american_scientific_journal-1841	144	27	seen	see	VERB
american_scientific_journal-1841	144	28	to	to	PART
american_scientific_journal-1841	144	29	be	be	AUX
american_scientific_journal-1841	144	30	greater	great	ADJ
american_scientific_journal-1841	144	31	than	than	ADP
american_scientific_journal-1841	144	32	that	that	DET
american_scientific_journal-1841	144	33	value	value	NOUN
american_scientific_journal-1841	144	34	when	when	SCONJ
american_scientific_journal-1841	144	35	𝛬𝛬<0	𝛬𝛬<0	PROPN
american_scientific_journal-1841	144	36	.	.	PUNCT
american_scientific_journal-1841	145	1	thus	thus	ADV
american_scientific_journal-1841	145	2	negative	negative	ADJ
american_scientific_journal-1841	145	3	𝛬𝛬	𝛬𝛬	PROPN
american_scientific_journal-1841	145	4	increases	increase	VERB
american_scientific_journal-1841	145	5	the	the	DET
american_scientific_journal-1841	145	6	angle	angle	NOUN
american_scientific_journal-1841	145	7	of	of	ADP
american_scientific_journal-1841	145	8	deflection	deflection	NOUN
american_scientific_journal-1841	145	9	of	of	ADP
american_scientific_journal-1841	145	10	a	a	DET
american_scientific_journal-1841	145	11	light	light	ADJ
american_scientific_journal-1841	145	12	ray	ray	NOUN
american_scientific_journal-1841	145	13	passing	pass	VERB
american_scientific_journal-1841	145	14	near	near	ADP
american_scientific_journal-1841	145	15	a	a	DET
american_scientific_journal-1841	145	16	spherically	spherically	NOUN
american_scientific_journal-1841	145	17	symmetric	symmetric	ADJ
american_scientific_journal-1841	145	18	object	object	NOUN
american_scientific_journal-1841	145	19	.	.	PUNCT
american_scientific_journal-1841	146	1	it	it	PRON
american_scientific_journal-1841	146	2	is	be	AUX
american_scientific_journal-1841	146	3	possible	possible	ADJ
american_scientific_journal-1841	146	4	to	to	PART
american_scientific_journal-1841	146	5	obtain	obtain	VERB
american_scientific_journal-1841	146	6	values	value	NOUN
american_scientific_journal-1841	146	7	of	of	ADP
american_scientific_journal-1841	146	8	2δ>4𝑚𝑚	2δ>4𝑚𝑚	NUM
american_scientific_journal-1841	146	9	𝑟𝑟0	𝑟𝑟0	NOUN
american_scientific_journal-1841	146	10	even	even	ADV
american_scientific_journal-1841	146	11	when	when	SCONJ
american_scientific_journal-1841	146	12	𝛬𝛬>0	𝛬𝛬>0	VERB
american_scientific_journal-1841	146	13	for	for	ADP
american_scientific_journal-1841	146	14	suitable	suitable	ADJ
american_scientific_journal-1841	146	15	values	value	NOUN
american_scientific_journal-1841	146	16	of	of	ADP
american_scientific_journal-1841	146	17	r0	r0	NOUN
american_scientific_journal-1841	146	18	and	and	CCONJ
american_scientific_journal-1841	146	19	m.	m.	NOUN
american_scientific_journal-1841	146	20	7	7	NUM
american_scientific_journal-1841	146	21	.	.	PUNCT
american_scientific_journal-1841	147	1	conclusion	conclusion	NOUN
american_scientific_journal-1841	147	2	field	field	NOUN
american_scientific_journal-1841	147	3	equations	equation	NOUN
american_scientific_journal-1841	147	4	in	in	ADP
american_scientific_journal-1841	147	5	general	general	ADJ
american_scientific_journal-1841	147	6	relativity	relativity	NOUN
american_scientific_journal-1841	147	7	are	be	AUX
american_scientific_journal-1841	147	8	written	write	VERB
american_scientific_journal-1841	147	9	with	with	ADP
american_scientific_journal-1841	147	10	the	the	DET
american_scientific_journal-1841	147	11	cosmological	cosmological	ADJ
american_scientific_journal-1841	147	12	term	term	NOUN
american_scientific_journal-1841	147	13	considered	consider	VERB
american_scientific_journal-1841	147	14	as	as	ADP
american_scientific_journal-1841	147	15	a	a	DET
american_scientific_journal-1841	147	16	variable	variable	NOUN
american_scientific_journal-1841	147	17	,	,	PUNCT
american_scientific_journal-1841	147	18	on	on	ADP
american_scientific_journal-1841	147	19	the	the	DET
american_scientific_journal-1841	147	20	right	right	ADJ
american_scientific_journal-1841	147	21	hand	hand	NOUN
american_scientific_journal-1841	147	22	side	side	NOUN
american_scientific_journal-1841	147	23	,	,	PUNCT
american_scientific_journal-1841	147	24	interpreting	interpret	VERB
american_scientific_journal-1841	147	25	the	the	DET
american_scientific_journal-1841	147	26	corresponding	correspond	VERB
american_scientific_journal-1841	147	27	tensor	tensor	NOUN
american_scientific_journal-1841	147	28	not	not	PART
american_scientific_journal-1841	147	29	as	as	ADP
american_scientific_journal-1841	147	30	a	a	DET
american_scientific_journal-1841	147	31	geometric	geometric	ADJ
american_scientific_journal-1841	147	32	tensor	tensor	NOUN
american_scientific_journal-1841	147	33	but	but	CCONJ
american_scientific_journal-1841	147	34	as	as	ADP
american_scientific_journal-1841	147	35	the	the	DET
american_scientific_journal-1841	147	36	energy	energy	NOUN
american_scientific_journal-1841	147	37	momentum	momentum	NOUN
american_scientific_journal-1841	147	38	tensor	tensor	NOUN
american_scientific_journal-1841	147	39	of	of	ADP
american_scientific_journal-1841	147	40	the	the	DET
american_scientific_journal-1841	147	41	space	space	NOUN
american_scientific_journal-1841	147	42	–	–	PUNCT
american_scientific_journal-1841	147	43	time	time	NOUN
american_scientific_journal-1841	147	44	.	.	PUNCT
american_scientific_journal-1841	148	1	with	with	ADP
american_scientific_journal-1841	148	2	this	this	DET
american_scientific_journal-1841	148	3	formulation	formulation	NOUN
american_scientific_journal-1841	148	4	the	the	DET
american_scientific_journal-1841	148	5	space	space	NOUN
american_scientific_journal-1841	148	6	–	–	PUNCT
american_scientific_journal-1841	148	7	time	time	NOUN
american_scientific_journal-1841	148	8	itself	itself	PRON
american_scientific_journal-1841	148	9	contributes	contribute	VERB
american_scientific_journal-1841	148	10	to	to	ADP
american_scientific_journal-1841	148	11	the	the	DET
american_scientific_journal-1841	148	12	energy	energy	NOUN
american_scientific_journal-1841	148	13	momentum	momentum	NOUN
american_scientific_journal-1841	148	14	that	that	PRON
american_scientific_journal-1841	148	15	determines	determine	VERB
american_scientific_journal-1841	148	16	the	the	DET
american_scientific_journal-1841	148	17	metric	metric	ADJ
american_scientific_journal-1841	148	18	tensor	tensor	NOUN
american_scientific_journal-1841	148	19	.	.	PUNCT
american_scientific_journal-1841	149	1	the	the	DET
american_scientific_journal-1841	149	2	energy	energy	NOUN
american_scientific_journal-1841	149	3	of	of	ADP
american_scientific_journal-1841	149	4	the	the	DET
american_scientific_journal-1841	149	5	spacetime	spacetime	NOUN
american_scientific_journal-1841	149	6	and	and	CCONJ
american_scientific_journal-1841	149	7	that	that	PRON
american_scientific_journal-1841	149	8	of	of	ADP
american_scientific_journal-1841	149	9	the	the	DET
american_scientific_journal-1841	149	10	ordinary	ordinary	ADJ
american_scientific_journal-1841	149	11	matter	matter	NOUN
american_scientific_journal-1841	149	12	and	and	CCONJ
american_scientific_journal-1841	149	13	radiation	radiation	NOUN
american_scientific_journal-1841	149	14	is	be	AUX
american_scientific_journal-1841	149	15	conserved	conserve	VERB
american_scientific_journal-1841	149	16	as	as	ADP
american_scientific_journal-1841	149	17	a	a	DET
american_scientific_journal-1841	149	18	whole	whole	NOUN
american_scientific_journal-1841	149	19	,	,	PUNCT
american_scientific_journal-1841	149	20	thus	thus	ADV
american_scientific_journal-1841	149	21	the	the	DET
american_scientific_journal-1841	149	22	energy	energy	NOUN
american_scientific_journal-1841	149	23	of	of	ADP
american_scientific_journal-1841	149	24	the	the	DET
american_scientific_journal-1841	149	25	space	space	NOUN
american_scientific_journal-1841	149	26	–	–	PUNCT
american_scientific_journal-1841	149	27	time	time	NOUN
american_scientific_journal-1841	149	28	is	be	AUX
american_scientific_journal-1841	149	29	“	"	PUNCT
american_scientific_journal-1841	149	30	converted	convert	VERB
american_scientific_journal-1841	149	31	”	"	PUNCT
american_scientific_journal-1841	149	32	to	to	ADP
american_scientific_journal-1841	149	33	other	other	ADJ
american_scientific_journal-1841	149	34	forms	form	NOUN
american_scientific_journal-1841	149	35	of	of	ADP
american_scientific_journal-1841	149	36	energies	energy	NOUN
american_scientific_journal-1841	149	37	,	,	PUNCT
american_scientific_journal-1841	149	38	and	and	CCONJ
american_scientific_journal-1841	149	39	vice	vice	ADV
american_scientific_journal-1841	149	40	versa	versa	ADV
american_scientific_journal-1841	149	41	.	.	PUNCT
american_scientific_journal-1841	150	1	this	this	PRON
american_scientific_journal-1841	150	2	implies	imply	VERB
american_scientific_journal-1841	150	3	that	that	DET
american_scientific_journal-1841	150	4	matter	matter	NOUN
american_scientific_journal-1841	150	5	could	could	AUX
american_scientific_journal-1841	150	6	be	be	AUX
american_scientific_journal-1841	150	7	created	create	VERB
american_scientific_journal-1841	150	8	not	not	PART
american_scientific_journal-1841	150	9	as	as	ADP
american_scientific_journal-1841	150	10	in	in	ADP
american_scientific_journal-1841	150	11	the	the	DET
american_scientific_journal-1841	150	12	c	c	NOUN
american_scientific_journal-1841	150	13	–	–	PUNCT
american_scientific_journal-1841	150	14	field	field	NOUN
american_scientific_journal-1841	150	15	theory	theory	NOUN
american_scientific_journal-1841	150	16	but	but	CCONJ
american_scientific_journal-1841	150	17	at	at	ADP
american_scientific_journal-1841	150	18	the	the	DET
american_scientific_journal-1841	150	19	expense	expense	NOUN
american_scientific_journal-1841	150	20	of	of	ADP
american_scientific_journal-1841	150	21	the	the	DET
american_scientific_journal-1841	150	22	energy	energy	NOUN
american_scientific_journal-1841	150	23	of	of	ADP
american_scientific_journal-1841	150	24	space	space	NOUN
american_scientific_journal-1841	150	25	–	–	PUNCT
american_scientific_journal-1841	150	26	time	time	NOUN
american_scientific_journal-1841	150	27	.	.	PUNCT
american_scientific_journal-1841	151	1	this	this	DET
american_scientific_journal-1841	151	2	energy	energy	NOUN
american_scientific_journal-1841	151	3	is	be	AUX
american_scientific_journal-1841	151	4	different	different	ADJ
american_scientific_journal-1841	151	5	from	from	ADP
american_scientific_journal-1841	151	6	the	the	DET
american_scientific_journal-1841	151	7	vacuum	vacuum	NOUN
american_scientific_journal-1841	151	8	energy	energy	NOUN
american_scientific_journal-1841	151	9	,	,	PUNCT
american_scientific_journal-1841	151	10	eliminating	eliminate	VERB
american_scientific_journal-1841	151	11	the	the	DET
american_scientific_journal-1841	151	12	so	so	ADV
american_scientific_journal-1841	151	13	called	call	VERB
american_scientific_journal-1841	151	14	coincidence	coincidence	NOUN
american_scientific_journal-1841	151	15	problem	problem	NOUN
american_scientific_journal-1841	151	16	and	and	CCONJ
american_scientific_journal-1841	151	17	the	the	DET
american_scientific_journal-1841	151	18	cosmological	cosmological	ADJ
american_scientific_journal-1841	151	19	constant	constant	ADJ
american_scientific_journal-1841	151	20	problem	problem	NOUN
american_scientific_journal-1841	151	21	,	,	PUNCT
american_scientific_journal-1841	151	22	as	as	ADP
american_scientific_journal-1841	151	23	𝛬𝛬is	𝛬𝛬is	DET
american_scientific_journal-1841	151	24	a	a	DET
american_scientific_journal-1841	151	25	variable	variable	NOUN
american_scientific_journal-1841	151	26	.	.	PUNCT
american_scientific_journal-1841	152	1	𝛬𝛬also	𝛬𝛬also	PROPN
american_scientific_journal-1841	152	2	gives	give	VERB
american_scientific_journal-1841	152	3	rise	rise	NOUN
american_scientific_journal-1841	152	4	to	to	ADP
american_scientific_journal-1841	152	5	acceleration	acceleration	NOUN
american_scientific_journal-1841	152	6	of	of	ADP
american_scientific_journal-1841	152	7	the	the	DET
american_scientific_journal-1841	152	8	universe	universe	NOUN
american_scientific_journal-1841	152	9	at	at	ADP
american_scientific_journal-1841	152	10	the	the	DET
american_scientific_journal-1841	152	11	present	present	ADJ
american_scientific_journal-1841	152	12	epoch	epoch	NOUN
american_scientific_journal-1841	152	13	with	with	ADP
american_scientific_journal-1841	152	14	possible	possible	ADJ
american_scientific_journal-1841	152	15	deceleration	deceleration	NOUN
american_scientific_journal-1841	152	16	in	in	ADP
american_scientific_journal-1841	152	17	the	the	DET
american_scientific_journal-1841	152	18	future	future	NOUN
american_scientific_journal-1841	152	19	as	as	ADP
american_scientific_journal-1841	152	20	�	�	PROPN
american_scientific_journal-1841	152	21	̈	̈	X
american_scientific_journal-1841	152	22	�	�	NOUN
american_scientific_journal-1841	152	23	𝑅	𝑅	PROPN
american_scientific_journal-1841	152	24	could	could	AUX
american_scientific_journal-1841	152	25	be	be	AUX
american_scientific_journal-1841	152	26	negative	negative	ADJ
american_scientific_journal-1841	152	27	for	for	ADP
american_scientific_journal-1841	152	28	certain	certain	ADJ
american_scientific_journal-1841	152	29	values	value	NOUN
american_scientific_journal-1841	152	30	of	of	ADP
american_scientific_journal-1841	152	31	𝛬𝛬.	𝛬𝛬.	PRON
american_scientific_journal-1841	152	32	the	the	DET
american_scientific_journal-1841	152	33	energy	energy	NOUN
american_scientific_journal-1841	152	34	of	of	ADP
american_scientific_journal-1841	152	35	the	the	DET
american_scientific_journal-1841	152	36	space	space	NOUN
american_scientific_journal-1841	152	37	time	time	NOUN
american_scientific_journal-1841	152	38	is	be	AUX
american_scientific_journal-1841	152	39	identified	identify	VERB
american_scientific_journal-1841	152	40	as	as	ADP
american_scientific_journal-1841	152	41	dark	dark	ADJ
american_scientific_journal-1841	152	42	energy	energy	NOUN
american_scientific_journal-1841	152	43	.	.	PUNCT
american_scientific_journal-1841	153	1	it	it	PRON
american_scientific_journal-1841	153	2	should	should	AUX
american_scientific_journal-1841	153	3	be	be	AUX
american_scientific_journal-1841	153	4	emphasized	emphasize	VERB
american_scientific_journal-1841	153	5	that	that	SCONJ
american_scientific_journal-1841	153	6	it	it	PRON
american_scientific_journal-1841	153	7	is	be	AUX
american_scientific_journal-1841	153	8	the	the	DET
american_scientific_journal-1841	153	9	energy	energy	NOUN
american_scientific_journal-1841	153	10	momentum	momentum	NOUN
american_scientific_journal-1841	153	11	tensor	tensor	NOUN
american_scientific_journal-1841	153	12	of	of	ADP
american_scientific_journal-1841	153	13	the	the	DET
american_scientific_journal-1841	153	14	space	space	NOUN
american_scientific_journal-1841	153	15	time	time	NOUN
american_scientific_journal-1841	153	16	that	that	PRON
american_scientific_journal-1841	153	17	is	be	AUX
american_scientific_journal-1841	153	18	important	important	ADJ
american_scientific_journal-1841	153	19	as	as	SCONJ
american_scientific_journal-1841	153	20	the	the	DET
american_scientific_journal-1841	153	21	acceleration	acceleration	NOUN
american_scientific_journal-1841	153	22	of	of	ADP
american_scientific_journal-1841	153	23	the	the	DET
american_scientific_journal-1841	153	24	universe	universe	NOUN
american_scientific_journal-1841	153	25	is	be	AUX
american_scientific_journal-1841	153	26	caused	cause	VERB
american_scientific_journal-1841	153	27	by	by	ADP
american_scientific_journal-1841	153	28	the	the	DET
american_scientific_journal-1841	153	29	negative	negative	ADJ
american_scientific_journal-1841	153	30	pressure	pressure	NOUN
american_scientific_journal-1841	153	31	due	due	ADP
american_scientific_journal-1841	153	32	to	to	ADP
american_scientific_journal-1841	153	33	𝛬𝛬	𝛬𝛬	PROPN
american_scientific_journal-1841	153	34	in	in	ADP
american_scientific_journal-1841	153	35	the	the	DET
american_scientific_journal-1841	153	36	relevant	relevant	ADJ
american_scientific_journal-1841	153	37	energy	energy	NOUN
american_scientific_journal-1841	153	38	momentum	momentum	NOUN
american_scientific_journal-1841	153	39	tensor	tensor	NOUN
american_scientific_journal-1841	153	40	.	.	PUNCT
american_scientific_journal-1841	154	1	𝛬𝛬	𝛬𝛬	PROPN
american_scientific_journal-1841	154	2	is	be	AUX
american_scientific_journal-1841	154	3	also	also	ADV
american_scientific_journal-1841	154	4	identified	identify	VERB
american_scientific_journal-1841	154	5	with	with	ADP
american_scientific_journal-1841	154	6	dark	dark	ADJ
american_scientific_journal-1841	154	7	matter	matter	NOUN
american_scientific_journal-1841	154	8	,	,	PUNCT
american_scientific_journal-1841	154	9	especially	especially	ADV
american_scientific_journal-1841	154	10	when	when	SCONJ
american_scientific_journal-1841	154	11	it	it	PRON
american_scientific_journal-1841	154	12	has	have	VERB
american_scientific_journal-1841	154	13	negative	negative	ADJ
american_scientific_journal-1841	154	14	values	value	NOUN
american_scientific_journal-1841	154	15	.	.	PUNCT
american_scientific_journal-1841	155	1	as	as	SCONJ
american_scientific_journal-1841	155	2	cho	cho	PROPN
american_scientific_journal-1841	155	3	[	[	X
american_scientific_journal-1841	155	4	13	13	NUM
american_scientific_journal-1841	155	5	]	]	PUNCT
american_scientific_journal-1841	155	6	has	have	AUX
american_scientific_journal-1841	155	7	mentioned	mention	VERB
american_scientific_journal-1841	155	8	there	there	PRON
american_scientific_journal-1841	155	9	is	be	VERB
american_scientific_journal-1841	155	10	little	little	ADJ
american_scientific_journal-1841	155	11	hope	hope	NOUN
american_scientific_journal-1841	155	12	for	for	ADP
american_scientific_journal-1841	155	13	finding	find	VERB
american_scientific_journal-1841	155	14	wimps	wimp	NOUN
american_scientific_journal-1841	155	15	to	to	PART
american_scientific_journal-1841	155	16	explain	explain	VERB
american_scientific_journal-1841	155	17	dark	dark	ADJ
american_scientific_journal-1841	155	18	matter	matter	NOUN
american_scientific_journal-1841	156	1	and	and	CCONJ
american_scientific_journal-1841	156	2	we	we	PRON
american_scientific_journal-1841	156	3	are	be	AUX
american_scientific_journal-1841	156	4	of	of	ADP
american_scientific_journal-1841	156	5	the	the	DET
american_scientific_journal-1841	156	6	view	view	NOUN
american_scientific_journal-1841	156	7	that	that	SCONJ
american_scientific_journal-1841	156	8	our	our	PRON
american_scientific_journal-1841	156	9	hypothesis	hypothesis	NOUN
american_scientific_journal-1841	156	10	is	be	AUX
american_scientific_journal-1841	156	11	an	an	DET
american_scientific_journal-1841	156	12	answer	answer	NOUN
american_scientific_journal-1841	156	13	to	to	ADP
american_scientific_journal-1841	156	14	the	the	DET
american_scientific_journal-1841	156	15	problems	problem	NOUN
american_scientific_journal-1841	156	16	discussed	discuss	VERB
american_scientific_journal-1841	156	17	in	in	ADP
american_scientific_journal-1841	156	18	literature	literature	NOUN
american_scientific_journal-1841	156	19	.	.	PUNCT
american_scientific_journal-1841	157	1	8	8	X
american_scientific_journal-1841	157	2	.	.	PUNCT
american_scientific_journal-1841	157	3	limitations	limitation	NOUN
american_scientific_journal-1841	157	4	and	and	CCONJ
american_scientific_journal-1841	157	5	recommendations	recommendation	NOUN
american_scientific_journal-1841	157	6	we	we	PRON
american_scientific_journal-1841	157	7	are	be	AUX
american_scientific_journal-1841	157	8	limited	limit	VERB
american_scientific_journal-1841	157	9	and	and	CCONJ
american_scientific_journal-1841	157	10	constrained	constrain	VERB
american_scientific_journal-1841	157	11	by	by	ADP
american_scientific_journal-1841	157	12	not	not	PART
american_scientific_journal-1841	157	13	coming	come	VERB
american_scientific_journal-1841	157	14	out	out	ADP
american_scientific_journal-1841	157	15	with	with	ADP
american_scientific_journal-1841	157	16	a	a	DET
american_scientific_journal-1841	157	17	detailed	detailed	ADJ
american_scientific_journal-1841	157	18	model	model	NOUN
american_scientific_journal-1841	157	19	to	to	PART
american_scientific_journal-1841	157	20	explain	explain	VERB
american_scientific_journal-1841	157	21	the	the	DET
american_scientific_journal-1841	157	22	expansion	expansion	NOUN
american_scientific_journal-1841	157	23	of	of	ADP
american_scientific_journal-1841	157	24	the	the	DET
american_scientific_journal-1841	157	25	universe	universe	NOUN
american_scientific_journal-1841	157	26	and	and	CCONJ
american_scientific_journal-1841	157	27	we	we	PRON
american_scientific_journal-1841	157	28	recommend	recommend	VERB
american_scientific_journal-1841	157	29	the	the	DET
american_scientific_journal-1841	157	30	working	working	NOUN
american_scientific_journal-1841	157	31	out	out	ADP
american_scientific_journal-1841	157	32	of	of	ADP
american_scientific_journal-1841	157	33	a	a	DET
american_scientific_journal-1841	157	34	detailed	detailed	ADJ
american_scientific_journal-1841	157	35	model	model	NOUN
american_scientific_journal-1841	157	36	and	and	CCONJ
american_scientific_journal-1841	157	37	also	also	ADV
american_scientific_journal-1841	157	38	calculations	calculation	NOUN
american_scientific_journal-1841	157	39	in	in	ADP
american_scientific_journal-1841	157	40	regard	regard	NOUN
american_scientific_journal-1841	157	41	to	to	ADP
american_scientific_journal-1841	157	42	weak	weak	ADJ
american_scientific_journal-1841	157	43	lensing	lensing	NOUN
american_scientific_journal-1841	157	44	in	in	ADP
american_scientific_journal-1841	157	45	connection	connection	NOUN
american_scientific_journal-1841	157	46	with	with	ADP
american_scientific_journal-1841	157	47	dark	dark	ADJ
american_scientific_journal-1841	157	48	matter	matter	NOUN
american_scientific_journal-1841	157	49	.	.	PUNCT
american_scientific_journal-1841	158	1	american	american	ADJ
american_scientific_journal-1841	158	2	scientific	scientific	ADJ
american_scientific_journal-1841	158	3	research	research	PROPN
american_scientific_journal-1841	158	4	journal	journal	NOUN
american_scientific_journal-1841	158	5	for	for	ADP
american_scientific_journal-1841	158	6	engineering	engineering	NOUN
american_scientific_journal-1841	158	7	,	,	PUNCT
american_scientific_journal-1841	158	8	technology	technology	NOUN
american_scientific_journal-1841	158	9	,	,	PUNCT
american_scientific_journal-1841	158	10	and	and	CCONJ
american_scientific_journal-1841	158	11	sciences	science	NOUN
american_scientific_journal-1841	158	12	(	(	PUNCT
american_scientific_journal-1841	158	13	asrjets	asrjet	NOUN
american_scientific_journal-1841	158	14	)	)	PUNCT
american_scientific_journal-1841	158	15	(	(	PUNCT
american_scientific_journal-1841	158	16	2016	2016	NUM
american_scientific_journal-1841	158	17	)	)	PUNCT
american_scientific_journal-1841	158	18	volume	volume	NOUN
american_scientific_journal-1841	158	19	22	22	NUM
american_scientific_journal-1841	158	20	,	,	PUNCT
american_scientific_journal-1841	158	21	no	no	DET
american_scientific_journal-1841	158	22	1	1	NUM
american_scientific_journal-1841	158	23	,	,	PUNCT
american_scientific_journal-1841	158	24	pp	pp	ADV
american_scientific_journal-1841	158	25	184	184	NUM
american_scientific_journal-1841	158	26	-	-	SYM
american_scientific_journal-1841	158	27	194	194	NUM
american_scientific_journal-1841	158	28	194	194	NUM
american_scientific_journal-1841	158	29	acknowledgements	acknowledgement	NOUN
american_scientific_journal-1841	158	30	we	we	PRON
american_scientific_journal-1841	158	31	thank	thank	VERB
american_scientific_journal-1841	158	32	the	the	DET
american_scientific_journal-1841	158	33	faculty	faculty	NOUN
american_scientific_journal-1841	158	34	of	of	ADP
american_scientific_journal-1841	158	35	science	science	NOUN
american_scientific_journal-1841	158	36	,	,	PUNCT
american_scientific_journal-1841	158	37	university	university	NOUN
american_scientific_journal-1841	158	38	of	of	ADP
american_scientific_journal-1841	158	39	kelaniya	kelaniya	PROPN
american_scientific_journal-1841	158	40	,	,	PUNCT
american_scientific_journal-1841	158	41	sri	sri	PROPN
american_scientific_journal-1841	158	42	lanka	lanka	PROPN
american_scientific_journal-1841	158	43	,	,	PUNCT
american_scientific_journal-1841	158	44	where	where	SCONJ
american_scientific_journal-1841	158	45	almost	almost	ADV
american_scientific_journal-1841	158	46	all	all	DET
american_scientific_journal-1841	158	47	the	the	DET
american_scientific_journal-1841	158	48	work	work	NOUN
american_scientific_journal-1841	158	49	was	be	AUX
american_scientific_journal-1841	158	50	done	do	VERB
american_scientific_journal-1841	158	51	when	when	SCONJ
american_scientific_journal-1841	158	52	we	we	PRON
american_scientific_journal-1841	158	53	were	be	AUX
american_scientific_journal-1841	158	54	there	there	ADV
american_scientific_journal-1841	158	55	at	at	ADP
american_scientific_journal-1841	158	56	one	one	NUM
american_scientific_journal-1841	158	57	time	time	NOUN
american_scientific_journal-1841	158	58	or	or	CCONJ
american_scientific_journal-1841	158	59	the	the	DET
american_scientific_journal-1841	158	60	other	other	ADJ
american_scientific_journal-1841	158	61	,	,	PUNCT
american_scientific_journal-1841	158	62	for	for	ADP
american_scientific_journal-1841	158	63	providing	provide	VERB
american_scientific_journal-1841	158	64	us	we	PRON
american_scientific_journal-1841	158	65	all	all	DET
american_scientific_journal-1841	158	66	the	the	DET
american_scientific_journal-1841	158	67	facilities	facility	NOUN
american_scientific_journal-1841	158	68	.	.	PUNCT
american_scientific_journal-1841	159	1	it	it	PRON
american_scientific_journal-1841	159	2	is	be	AUX
american_scientific_journal-1841	159	3	a	a	DET
american_scientific_journal-1841	159	4	pleasure	pleasure	NOUN
american_scientific_journal-1841	159	5	to	to	PART
american_scientific_journal-1841	159	6	thank	thank	VERB
american_scientific_journal-1841	159	7	dr	dr	PROPN
american_scientific_journal-1841	159	8	.	.	PROPN
american_scientific_journal-1841	159	9	v.	v.	PROPN
american_scientific_journal-1841	159	10	k.	k.	PROPN
american_scientific_journal-1841	159	11	senanayake	senanayake	PROPN
american_scientific_journal-1841	159	12	of	of	ADP
american_scientific_journal-1841	159	13	the	the	DET
american_scientific_journal-1841	159	14	university	university	PROPN
american_scientific_journal-1841	159	15	of	of	ADP
american_scientific_journal-1841	159	16	kelaniya	kelaniya	PROPN
american_scientific_journal-1841	159	17	for	for	ADP
american_scientific_journal-1841	159	18	helpful	helpful	ADJ
american_scientific_journal-1841	159	19	discussions	discussion	NOUN
american_scientific_journal-1841	159	20	,	,	PUNCT
american_scientific_journal-1841	159	21	and	and	CCONJ
american_scientific_journal-1841	159	22	ms	ms	PROPN
american_scientific_journal-1841	159	23	.	.	PROPN
american_scientific_journal-1841	159	24	b.	b.	PROPN
american_scientific_journal-1841	159	25	b.	b.	PROPN
american_scientific_journal-1841	160	1	u.	u.	PROPN
american_scientific_journal-1841	161	1	p.	p.	PROPN
american_scientific_journal-1841	161	2	perera	perera	PROPN
american_scientific_journal-1841	161	3	and	and	CCONJ
american_scientific_journal-1841	161	4	ms	ms	PROPN
american_scientific_journal-1841	161	5	.	.	PROPN
american_scientific_journal-1841	161	6	s.	s.	PROPN
american_scientific_journal-1841	161	7	devadithya	devadithya	PROPN
american_scientific_journal-1841	161	8	of	of	ADP
american_scientific_journal-1841	161	9	university	university	PROPN
american_scientific_journal-1841	161	10	of	of	ADP
american_scientific_journal-1841	161	11	kelaniya	kelaniya	PROPN
american_scientific_journal-1841	161	12	and	and	CCONJ
american_scientific_journal-1841	161	13	university	university	PROPN
american_scientific_journal-1841	161	14	of	of	ADP
american_scientific_journal-1841	161	15	washington	washington	PROPN
american_scientific_journal-1841	161	16	,	,	PUNCT
american_scientific_journal-1841	161	17	usa	usa	PROPN
american_scientific_journal-1841	161	18	,	,	PUNCT
american_scientific_journal-1841	161	19	respectively	respectively	ADV
american_scientific_journal-1841	161	20	for	for	ADP
american_scientific_journal-1841	161	21	helping	help	VERB
american_scientific_journal-1841	161	22	us	we	PRON
american_scientific_journal-1841	161	23	with	with	ADP
american_scientific_journal-1841	161	24	computations	computation	NOUN
american_scientific_journal-1841	161	25	.	.	PUNCT
american_scientific_journal-1841	162	1	references	reference	NOUN
american_scientific_journal-1841	162	2	[	[	X
american_scientific_journal-1841	162	3	1	1	NUM
american_scientific_journal-1841	162	4	]	]	X
american_scientific_journal-1841	162	5	m	m	VERB
american_scientific_journal-1841	162	6	.	.	PUNCT
american_scientific_journal-1841	163	1	d.	d.	PROPN
american_scientific_journal-1841	163	2	p	p	PROPN
american_scientific_journal-1841	164	1	hemantha	hemantha	PROPN
american_scientific_journal-1841	164	2	,	,	PUNCT
american_scientific_journal-1841	164	3	nalin	nalin	PROPN
american_scientific_journal-1841	164	4	de	de	PROPN
american_scientific_journal-1841	164	5	silva	silva	PROPN
american_scientific_journal-1841	164	6	,	,	PUNCT
american_scientific_journal-1841	164	7	proceedings	proceeding	NOUN
american_scientific_journal-1841	164	8	of	of	ADP
american_scientific_journal-1841	164	9	the	the	DET
american_scientific_journal-1841	164	10	annual	annual	ADJ
american_scientific_journal-1841	164	11	research	research	NOUN
american_scientific_journal-1841	164	12	symposium	symposium	NOUN
american_scientific_journal-1841	164	13	,	,	PUNCT
american_scientific_journal-1841	164	14	university	university	NOUN
american_scientific_journal-1841	164	15	of	of	ADP
american_scientific_journal-1841	164	16	kelaniya	kelaniya	PROPN
american_scientific_journal-1841	164	17	,	,	PUNCT
american_scientific_journal-1841	164	18	61,2003	61,2003	NUM
american_scientific_journal-1841	164	19	.	.	PUNCT
american_scientific_journal-1841	165	1	[	[	X
american_scientific_journal-1841	165	2	2	2	NUM
american_scientific_journal-1841	165	3	]	]	X
american_scientific_journal-1841	165	4	m	m	VERB
american_scientific_journal-1841	165	5	d	d	X
american_scientific_journal-1841	165	6	p	p	PROPN
american_scientific_journal-1841	165	7	hemantha	hemantha	NOUN
american_scientific_journal-1841	165	8	,	,	PUNCT
american_scientific_journal-1841	165	9	nalin	nalin	PROPN
american_scientific_journal-1841	165	10	de	de	PROPN
american_scientific_journal-1841	165	11	silva	silva	PROPN
american_scientific_journal-1841	165	12	,	,	PUNCT
american_scientific_journal-1841	165	13	proceedings	proceeding	NOUN
american_scientific_journal-1841	165	14	of	of	ADP
american_scientific_journal-1841	165	15	the	the	DET
american_scientific_journal-1841	165	16	annual	annual	ADJ
american_scientific_journal-1841	165	17	research	research	NOUN
american_scientific_journal-1841	165	18	symposium	symposium	NOUN
american_scientific_journal-1841	165	19	,	,	PUNCT
american_scientific_journal-1841	165	20	university	university	NOUN
american_scientific_journal-1841	165	21	of	of	ADP
american_scientific_journal-1841	165	22	kelaniya	kelaniya	PROPN
american_scientific_journal-1841	165	23	,	,	PUNCT
american_scientific_journal-1841	165	24	55,2004	55,2004	NUM
american_scientific_journal-1841	165	25	.	.	PUNCT
american_scientific_journal-1841	166	1	[	[	X
american_scientific_journal-1841	166	2	3	3	X
american_scientific_journal-1841	166	3	]	]	SYM
american_scientific_journal-1841	166	4	f	f	X
american_scientific_journal-1841	166	5	,	,	PUNCT
american_scientific_journal-1841	166	6	fhoyle	fhoyle	PROPN
american_scientific_journal-1841	166	7	.	.	PUNCT
american_scientific_journal-1841	166	8	,	,	PUNCT
american_scientific_journal-1841	166	9	j.v.narlikar	j.v.narlikar	ADJ
american_scientific_journal-1841	166	10	,	,	PUNCT
american_scientific_journal-1841	166	11	proc	proc	NOUN
american_scientific_journal-1841	166	12	.	.	PUNCT
american_scientific_journal-1841	167	1	r.	r.	PROPN
american_scientific_journal-1841	167	2	soc	soc	PROPN
american_scientific_journal-1841	167	3	.	.	PUNCT
american_scientific_journal-1841	168	1	(	(	PUNCT
american_scientific_journal-1841	168	2	lond	lond	PROPN
american_scientific_journal-1841	168	3	.	.	PUNCT
american_scientific_journal-1841	168	4	)	)	PUNCT
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american_scientific_journal-1841	169	2	,	,	PUNCT
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american_scientific_journal-1841	169	4	.	.	PUNCT
american_scientific_journal-1841	170	1	[	[	X
american_scientific_journal-1841	170	2	4	4	NUM
american_scientific_journal-1841	170	3	]	]	X
american_scientific_journal-1841	170	4	mc	mc	PROPN
american_scientific_journal-1841	170	5	.	.	PROPN
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american_scientific_journal-1841	170	7	,	,	PUNCT
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american_scientific_journal-1841	170	12	,	,	PUNCT
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american_scientific_journal-1841	170	17	.	.	PUNCT
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american_scientific_journal-1841	171	3	]	]	PUNCT
american_scientific_journal-1841	171	4	j.a.n.k	j.a.n.k	DET
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american_scientific_journal-1841	171	6	,	,	PUNCT
american_scientific_journal-1841	171	7	“	"	PUNCT
american_scientific_journal-1841	171	8	a	a	DET
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american_scientific_journal-1841	171	31	”	"	PUNCT
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american_scientific_journal-1841	172	6	et	et	PROPN
american_scientific_journal-1841	172	7	.	.	PUNCT
american_scientific_journal-1841	173	1	al	al	PROPN
american_scientific_journal-1841	173	2	.	.	PROPN
american_scientific_journal-1841	173	3	,	,	PUNCT
american_scientific_journal-1841	173	4	apj	apj	PROPN
american_scientific_journal-1841	173	5	,	,	PUNCT
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american_scientific_journal-1841	173	7	,	,	PUNCT
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american_scientific_journal-1841	173	9	.	.	PUNCT
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american_scientific_journal-1841	174	4	s.	s.	PROPN
american_scientific_journal-1841	174	5	perlmutter	perlmutter	PROPN
american_scientific_journal-1841	174	6	et	et	PROPN
american_scientific_journal-1841	174	7	.	.	PUNCT
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american_scientific_journal-1841	175	3	,	,	PUNCT
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american_scientific_journal-1841	175	5	,	,	PUNCT
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american_scientific_journal-1841	175	7	,	,	PUNCT
american_scientific_journal-1841	175	8	et	et	PROPN
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american_scientific_journal-1841	176	4	a	a	DET
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american_scientific_journal-1841	176	7	.	.	PUNCT
american_scientific_journal-1841	176	8	,	,	PUNCT
american_scientific_journal-1841	176	9	the	the	DET
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american_scientific_journal-1841	177	16	,	,	PUNCT
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american_scientific_journal-1841	178	9	,	,	PUNCT
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american_scientific_journal-1841	182	9	.	.	PROPN
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american_scientific_journal-1841	184	8	,	,	PUNCT
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